How to Find GCF of 987/712, 510/796?

GCF of 987/712, 510/796

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 987/712, 510/796 i.e 3/141688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 987/712, 510/796.

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 987/712,510/796?

Given fractions are 987/712,510/796

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 987/712,510/796, numerators are 987,510

Denominators are 712,796

The GCF of 987,510 is 3 .

LCM of 712,796 is 141688.

The greatest common factor of 987/712,510/796 = [GCF of 987,510]/[LCM of 712,796]= 3/141688

Therefore, the GCF of 987/712,510/796 is 3/141688.

Greatest Common Factor of 987,510

To find the highest common factor of 987,510, we have to find the factors of both numbers and list the highest common factor.

The factors of 987 are 1, 3, 7, 21, 47, 141, 329, 987

The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

The HCF of 987,510 is 3.

Lets's calculate GCF of 987,510

Greatest Common Factor (GCF) of 987,510 By Common Division

3	987, 510
	329, 170

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 987,510 By Matching Biggest Common Factor Method

Now, list down the factors of 987

1,3,7,21,47,141,329,987

Now, list down the factors of 510

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 987,510 . The biggest common factor number is the GCF number.
So the greatest common factor 987,510 is 3.

Lets's calculate LCM of 712,796

Lowest Common Multiple of 712,796 using Common Division

2	712, 796
2	356, 398
	178, 199

∴ So the LCM of the given numbers is 2 x 2 x 178 x 199 = 141688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/141688

Therefore, the GCF of Fractions 987/712,510/796 is 3/141688

Least Common Multiple of 712,796 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 712,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,796) = 4

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

GCF(712,796) x common factors =4 x 1 = 4

LCM(712,796) = ( 712 × 796 ) / 4

LCM(712,796) = 566752 / 4

LCM(712,796) = 141688

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FAQs on GCF of Fractions of 987/712, 510/796

1. What is the HCF of 987,510?

The HCF of 987,510 is 3

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 987/712, 510/796?

Answer: GCF of Numerators as per given numbers 987/712, 510/796 is

GCF of Numerators i.e. for 987,510 is 3

LCM of denominators i.e. for 712,796 is 141688.

Thus, GCF of Fractions is 3/141688.Finally, GCF of Fractions for 987/712, 510/796 is 3/141688.