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GCF of 44/632, 67/345, 522/416

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 44/632, 67/345, 522/416 i.e 1/11338080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/632, 67/345, 522/416.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 44/632,67/345,522/416?

Given fractions are 44/632,67/345,522/416

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 44/632,67/345,522/416, numerators are 44,67,522

Denominators are 632,345,416

The GCF of 44,67,522 is 1 .

LCM of 632,345,416 is 11338080.

The greatest common factor of 44/632,67/345,522/416 = [GCF of 44,67,522]/[LCM of 632,345,416]= 1/11338080

Therefore, the GCF of 44/632,67/345,522/416 is 1/11338080.

Greatest Common Factor of 44,67,522

To find the highest common factor of 44,67,522, we have to find the factors of both numbers and list the highest common factor.

The factors of 44 are 1, 2, 4, 11, 22, 44

The factors of 67 are 1, 67

The factors of 522 are 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

The HCF of 44,67,522 is 1.

Lets's calculate GCF of 44,67,522

Greatest Common Factor (GCF) of 44,67,522 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 44,67,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,67,522 By Matching Biggest Common Factor Method

Now, list down the factors of 44

:

1,2,4,11,22,44

Now, list down the factors of 67

:

1,67

Now, list down the factors of 522

:

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 44,67,522 . The biggest common factor number is the GCF number.
So the greatest common factor 44,67,522 is 1.


Lets's calculate LCM of 632,345,416

Lowest Common Multiple of 632,345,416 using Common Division

2 632, 345, 416
2 316, 345, 208
2 158, 345, 104
79, 345, 52

∴ So the LCM of the given numbers is 2 x 2 x 2 x 79 x 345 x 52 = 11338080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11338080

Therefore, the GCF of Fractions 44/632,67/345,522/416 is 1/11338080

Least Common Multiple of 632,345,416 with GCF Formula

Least Common Multiple of 632,345,416 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 632,345,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,345,416) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(632,345,416) x common factors =1 x 8 = 8

LCM(632,345,416) = ( 632 × 345 × 416 ) / 8

LCM(632,345,416) = 90704640 / 8

LCM(632,345,416) = 11338080


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 44/632, 67/345, 522/416

1. What is the HCF of 44,67,522?

The HCF of 44,67,522 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 44/632, 67/345, 522/416?

Answer: GCF of Numerators as per given numbers 44/632, 67/345, 522/416 is

GCF of Numerators i.e. for 44,67,522 is 1

LCM of denominators i.e. for 632,345,416 is 11338080.

Thus, GCF of Fractions is 1/11338080.Finally, GCF of Fractions for 44/632, 67/345, 522/416 is 1/11338080.