How to Find GCF of 6892/431, 3496/681?

GCF of 6892/431, 3496/681

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 6892/431, 3496/681 i.e 4/293511 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6892/431, 3496/681.

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 6892/431,3496/681?

Given fractions are 6892/431,3496/681

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 6892/431,3496/681, numerators are 6892,3496

Denominators are 431,681

The GCF of 6892,3496 is 4 .

LCM of 431,681 is 293511.

The greatest common factor of 6892/431,3496/681 = [GCF of 6892,3496]/[LCM of 431,681]= 4/293511

Therefore, the GCF of 6892/431,3496/681 is 4/293511.

Greatest Common Factor of 6892,3496

To find the highest common factor of 6892,3496, we have to find the factors of both numbers and list the highest common factor.

The factors of 6892 are 1, 2, 4, 1723, 3446, 6892

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

The HCF of 6892,3496 is 4.

Lets's calculate GCF of 6892,3496

Greatest Common Factor (GCF) of 6892,3496 By Common Division

2	6892, 3496
2	3446, 1748
	1723, 874

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6892,3496 By Matching Biggest Common Factor Method

Now, list down the factors of 6892

1,2,4,1723,3446,6892

Now, list down the factors of 3496

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

Greatest Common Factor

We found the factors 6892,3496 . The biggest common factor number is the GCF number.
So the greatest common factor 6892,3496 is 4.

Lets's calculate LCM of 431,681

Lowest Common Multiple of 431,681 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 293511

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/293511

Therefore, the GCF of Fractions 6892/431,3496/681 is 4/293511

Least Common Multiple of 431,681 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 431,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,681) = 1

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

GCF(431,681) x common factors =1 x 1 = 1

LCM(431,681) = ( 431 × 681 ) / 1

LCM(431,681) = 293511 / 1

LCM(431,681) = 293511

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FAQs on GCF of Fractions of 6892/431, 3496/681

1. What is the HCF of 6892,3496?

The HCF of 6892,3496 is 4

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 6892/431, 3496/681?

Answer: GCF of Numerators as per given numbers 6892/431, 3496/681 is

GCF of Numerators i.e. for 6892,3496 is 4

LCM of denominators i.e. for 431,681 is 293511.

Thus, GCF of Fractions is 4/293511.Finally, GCF of Fractions for 6892/431, 3496/681 is 4/293511.