How to Find GCF of 334/870, 7838/7692?

GCF of 334/870, 7838/7692

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 334/870, 7838/7692 i.e 2/1115340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 334/870, 7838/7692.

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 334/870,7838/7692?

Given fractions are 334/870,7838/7692

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 334/870,7838/7692, numerators are 334,7838

Denominators are 870,7692

The GCF of 334,7838 is 2 .

LCM of 870,7692 is 1115340.

The greatest common factor of 334/870,7838/7692 = [GCF of 334,7838]/[LCM of 870,7692]= 2/1115340

Therefore, the GCF of 334/870,7838/7692 is 2/1115340.

Greatest Common Factor of 334,7838

To find the highest common factor of 334,7838, we have to find the factors of both numbers and list the highest common factor.

The factors of 334 are 1, 2, 167, 334

The factors of 7838 are 1, 2, 3919, 7838

The HCF of 334,7838 is 2.

Lets's calculate GCF of 334,7838

Greatest Common Factor (GCF) of 334,7838 By Common Division

2	334, 7838
	167, 3919

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

Greatest Common Factor of 334,7838 By Matching Biggest Common Factor Method

Now, list down the factors of 334

1,2,167,334

Now, list down the factors of 7838

1,2,3919,7838

Greatest Common Factor

We found the factors 334,7838 . The biggest common factor number is the GCF number.
So the greatest common factor 334,7838 is 2.

Lets's calculate LCM of 870,7692

Lowest Common Multiple of 870,7692 using Common Division

2	870, 7692
3	435, 3846
	145, 1282

∴ So the LCM of the given numbers is 2 x 3 x 145 x 1282 = 1115340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1115340

Therefore, the GCF of Fractions 334/870,7838/7692 is 2/1115340

Least Common Multiple of 870,7692 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 870,7692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,7692) = 6

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

GCF(870,7692) x common factors =6 x 1 = 6

LCM(870,7692) = ( 870 × 7692 ) / 6

LCM(870,7692) = 6692040 / 6

LCM(870,7692) = 1115340

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FAQs on GCF of Fractions of 334/870, 7838/7692

1. What is the HCF of 334,7838?

The HCF of 334,7838 is 2

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 334/870, 7838/7692?

Answer: GCF of Numerators as per given numbers 334/870, 7838/7692 is

GCF of Numerators i.e. for 334,7838 is 2

LCM of denominators i.e. for 870,7692 is 1115340.

Thus, GCF of Fractions is 2/1115340.Finally, GCF of Fractions for 334/870, 7838/7692 is 2/1115340.