How to Find GCF of 6352/429, 5416/9482?

GCF of 6352/429, 5416/9482

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 6352/429, 5416/9482 i.e 8/369798 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6352/429, 5416/9482.

Enter two or more fractions separated by "commas"

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

What is the GCF of 6352/429,5416/9482?

Given fractions are 6352/429,5416/9482

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 6352/429,5416/9482, numerators are 6352,5416

Denominators are 429,9482

The GCF of 6352,5416 is 8 .

LCM of 429,9482 is 369798.

The greatest common factor of 6352/429,5416/9482 = [GCF of 6352,5416]/[LCM of 429,9482]= 8/369798

Therefore, the GCF of 6352/429,5416/9482 is 8/369798.

Greatest Common Factor of 6352,5416

To find the highest common factor of 6352,5416, we have to find the factors of both numbers and list the highest common factor.

The factors of 6352 are 1, 2, 4, 8, 16, 397, 794, 1588, 3176, 6352

The factors of 5416 are 1, 2, 4, 8, 677, 1354, 2708, 5416

The HCF of 6352,5416 is 8.

Lets's calculate GCF of 6352,5416

Greatest Common Factor (GCF) of 6352,5416 By Common Division

2	6352, 5416
2	3176, 2708
2	1588, 1354
	794, 677

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 6352,5416 By Matching Biggest Common Factor Method

Now, list down the factors of 6352

1,2,4,8,16,397,794,1588,3176,6352

Now, list down the factors of 5416

1,2,4,8,677,1354,2708,5416

Greatest Common Factor

We found the factors 6352,5416 . The biggest common factor number is the GCF number.
So the greatest common factor 6352,5416 is 8.

Lets's calculate LCM of 429,9482

Lowest Common Multiple of 429,9482 using Common Division

11	429, 9482
	39, 862

∴ So the LCM of the given numbers is 11 x 39 x 862 = 369798

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/369798

Therefore, the GCF of Fractions 6352/429,5416/9482 is 8/369798

Least Common Multiple of 429,9482 with GCF Formula

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

We need to calculate greatest common factor of 429,9482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,9482) = 11

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

GCF(429,9482) x common factors =11 x 1 = 11

LCM(429,9482) = ( 429 × 9482 ) / 11

LCM(429,9482) = 4067778 / 11

LCM(429,9482) = 369798

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FAQs on GCF of Fractions of 6352/429, 5416/9482

1. What is the HCF of 6352,5416?

The HCF of 6352,5416 is 8

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 6352/429, 5416/9482?

Answer: GCF of Numerators as per given numbers 6352/429, 5416/9482 is

GCF of Numerators i.e. for 6352,5416 is 8

LCM of denominators i.e. for 429,9482 is 369798.

Thus, GCF of Fractions is 8/369798.Finally, GCF of Fractions for 6352/429, 5416/9482 is 8/369798.