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GCF of 44/768, 9218/7187

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 44/768, 9218/7187 i.e 22/5519616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 44/768, 9218/7187.

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 44/768,9218/7187?

Given fractions are 44/768,9218/7187

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 44/768,9218/7187, numerators are 44,9218

Denominators are 768,7187

The GCF of 44,9218 is 22 .

LCM of 768,7187 is 5519616.

The greatest common factor of 44/768,9218/7187 = [GCF of 44,9218]/[LCM of 768,7187]= 22/5519616

Therefore, the GCF of 44/768,9218/7187 is 22/5519616.

Greatest Common Factor of 44,9218

To find the highest common factor of 44,9218, 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 9218 are 1, 2, 11, 22, 419, 838, 4609, 9218

The HCF of 44,9218 is 22.

Lets's calculate GCF of 44,9218

Greatest Common Factor (GCF) of 44,9218 By Common Division

2 44, 9218
11 22, 4609
2, 419

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 44,9218 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,9218 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 9218

:

1,2,11,22,419,838,4609,9218

Greatest Common Factor

We found the factors 44,9218 . The biggest common factor number is the GCF number.
So the greatest common factor 44,9218 is 22.

Lets's calculate LCM of 768,7187

Lowest Common Multiple of 768,7187 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5519616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/5519616

Therefore, the GCF of Fractions 44/768,9218/7187 is 22/5519616

Least Common Multiple of 768,7187 with GCF Formula

Least Common Multiple of 768,7187 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 768,7187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,7187) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(768,7187) x common factors =1 x 1 = 1

LCM(768,7187) = ( 768 × 7187 ) / 1

LCM(768,7187) = 5519616 / 1

LCM(768,7187) = 5519616


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FAQs on GCF of Fractions of 44/768, 9218/7187

1. What is the HCF of 44,9218?

The HCF of 44,9218 is 22

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 44/768, 9218/7187?

Answer: GCF of Numerators as per given numbers 44/768, 9218/7187 is

GCF of Numerators i.e. for 44,9218 is 22

LCM of denominators i.e. for 768,7187 is 5519616.

Thus, GCF of Fractions is 22/5519616.Finally, GCF of Fractions for 44/768, 9218/7187 is 22/5519616.