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GCF of 407/632, 412/948

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 407/632, 412/948 i.e 1/1896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 407/632, 412/948.

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 407/632,412/948?

Given fractions are 407/632,412/948

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 407/632,412/948, numerators are 407,412

Denominators are 632,948

The GCF of 407,412 is 1 .

LCM of 632,948 is 1896.

The greatest common factor of 407/632,412/948 = [GCF of 407,412]/[LCM of 632,948]= 1/1896

Therefore, the GCF of 407/632,412/948 is 1/1896.

Greatest Common Factor of 407,412

To find the highest common factor of 407,412, we have to find the factors of both numbers and list the highest common factor.

The factors of 407 are 1, 11, 37, 407

The factors of 412 are 1, 2, 4, 103, 206, 412

The HCF of 407,412 is 1.

Lets's calculate GCF of 407,412

Greatest Common Factor (GCF) of 407,412 By Common Division

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

Greatest Common Factor of 407,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,412 By Matching Biggest Common Factor Method

Now, list down the factors of 407

:

1,11,37,407

Now, list down the factors of 412

:

1,2,4,103,206,412

Greatest Common Factor

We found the factors 407,412 . The biggest common factor number is the GCF number.
So the greatest common factor 407,412 is 1.

Lets's calculate LCM of 632,948

Lowest Common Multiple of 632,948 using Common Division

2 632, 948
2 316, 474
79 158, 237
2, 3

∴ So the LCM of the given numbers is 2 x 2 x 79 x 2 x 3 = 1896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1896

Therefore, the GCF of Fractions 407/632,412/948 is 1/1896

Least Common Multiple of 632,948 with GCF Formula

Least Common Multiple of 632,948 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 632,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,948) = 316

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

GCF(632,948) x common factors =316 x 1 = 316

LCM(632,948) = ( 632 × 948 ) / 316

LCM(632,948) = 599136 / 316

LCM(632,948) = 1896


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FAQs on GCF of Fractions of 407/632, 412/948

1. What is the HCF of 407,412?

The HCF of 407,412 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 407/632, 412/948?

Answer: GCF of Numerators as per given numbers 407/632, 412/948 is

GCF of Numerators i.e. for 407,412 is 1

LCM of denominators i.e. for 632,948 is 1896.

Thus, GCF of Fractions is 1/1896.Finally, GCF of Fractions for 407/632, 412/948 is 1/1896.