How to Find GCF of 6992/317, 6104/430?

GCF of 6992/317, 6104/430

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 6992/317, 6104/430 i.e 8/136310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6992/317, 6104/430.

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 6992/317,6104/430?

Given fractions are 6992/317,6104/430

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 6992/317,6104/430, numerators are 6992,6104

Denominators are 317,430

The GCF of 6992,6104 is 8 .

LCM of 317,430 is 136310.

The greatest common factor of 6992/317,6104/430 = [GCF of 6992,6104]/[LCM of 317,430]= 8/136310

Therefore, the GCF of 6992/317,6104/430 is 8/136310.

Greatest Common Factor of 6992,6104

To find the highest common factor of 6992,6104, we have to find the factors of both numbers and list the highest common factor.

The factors of 6992 are 1, 2, 4, 8, 16, 19, 23, 38, 46, 76, 92, 152, 184, 304, 368, 437, 874, 1748, 3496, 6992

The factors of 6104 are 1, 2, 4, 7, 8, 14, 28, 56, 109, 218, 436, 763, 872, 1526, 3052, 6104

The HCF of 6992,6104 is 8.

Lets's calculate GCF of 6992,6104

Greatest Common Factor (GCF) of 6992,6104 By Common Division

2	6992, 6104
2	3496, 3052
2	1748, 1526
	874, 763

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

Greatest Common Factor of 6992,6104 By Matching Biggest Common Factor Method

Now, list down the factors of 6992

1,2,4,8,16,19,23,38,46,76,92,152,184,304,368,437,874,1748,3496,6992

Now, list down the factors of 6104

1,2,4,7,8,14,28,56,109,218,436,763,872,1526,3052,6104

Greatest Common Factor

We found the factors 6992,6104 . The biggest common factor number is the GCF number.
So the greatest common factor 6992,6104 is 8.

Lets's calculate LCM of 317,430

Lowest Common Multiple of 317,430 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 136310

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/136310

Therefore, the GCF of Fractions 6992/317,6104/430 is 8/136310

Least Common Multiple of 317,430 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 317,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(317,430) = 1

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

GCF(317,430) x common factors =1 x 1 = 1

LCM(317,430) = ( 317 × 430 ) / 1

LCM(317,430) = 136310 / 1

LCM(317,430) = 136310

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FAQs on GCF of Fractions of 6992/317, 6104/430

1. What is the HCF of 6992,6104?

The HCF of 6992,6104 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 6992/317, 6104/430?

Answer: GCF of Numerators as per given numbers 6992/317, 6104/430 is

GCF of Numerators i.e. for 6992,6104 is 8

LCM of denominators i.e. for 317,430 is 136310.

Thus, GCF of Fractions is 8/136310.Finally, GCF of Fractions for 6992/317, 6104/430 is 8/136310.