How to Find GCF of 6992/994, 1511/9762?

GCF of 6992/994, 1511/9762

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 6992/994, 1511/9762 i.e 1/4851714 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6992/994, 1511/9762.

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 6992/994,1511/9762?

Given fractions are 6992/994,1511/9762

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 6992/994,1511/9762, numerators are 6992,1511

Denominators are 994,9762

The GCF of 6992,1511 is 1 .

LCM of 994,9762 is 4851714.

The greatest common factor of 6992/994,1511/9762 = [GCF of 6992,1511]/[LCM of 994,9762]= 1/4851714

Therefore, the GCF of 6992/994,1511/9762 is 1/4851714.

Greatest Common Factor of 6992,1511

To find the highest common factor of 6992,1511, 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 1511 are 1, 1511

The HCF of 6992,1511 is 1.

Lets's calculate GCF of 6992,1511

Greatest Common Factor (GCF) of 6992,1511 By Common Division

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

Greatest Common Factor of 6992,1511 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 1511

1,1511

Greatest Common Factor

We found the factors 6992,1511 . The biggest common factor number is the GCF number.
So the greatest common factor 6992,1511 is 1.

Lets's calculate LCM of 994,9762

Lowest Common Multiple of 994,9762 using Common Division

2	994, 9762
	497, 4881

∴ So the LCM of the given numbers is 2 x 497 x 4881 = 4851714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4851714

Therefore, the GCF of Fractions 6992/994,1511/9762 is 1/4851714

Least Common Multiple of 994,9762 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 994,9762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,9762) = 2

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

GCF(994,9762) x common factors =2 x 1 = 2

LCM(994,9762) = ( 994 × 9762 ) / 2

LCM(994,9762) = 9703428 / 2

LCM(994,9762) = 4851714

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FAQs on GCF of Fractions of 6992/994, 1511/9762

1. What is the HCF of 6992,1511?

The HCF of 6992,1511 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 6992/994, 1511/9762?

Answer: GCF of Numerators as per given numbers 6992/994, 1511/9762 is

GCF of Numerators i.e. for 6992,1511 is 1

LCM of denominators i.e. for 994,9762 is 4851714.

Thus, GCF of Fractions is 1/4851714.Finally, GCF of Fractions for 6992/994, 1511/9762 is 1/4851714.