How to Find GCF of 7885/880, 1964/870?

GCF of 7885/880, 1964/870

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 7885/880, 1964/870 i.e 1/76560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7885/880, 1964/870.

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 7885/880,1964/870?

Given fractions are 7885/880,1964/870

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 7885/880,1964/870, numerators are 7885,1964

Denominators are 880,870

The GCF of 7885,1964 is 1 .

LCM of 880,870 is 76560.

The greatest common factor of 7885/880,1964/870 = [GCF of 7885,1964]/[LCM of 880,870]= 1/76560

Therefore, the GCF of 7885/880,1964/870 is 1/76560.

Greatest Common Factor of 7885,1964

To find the highest common factor of 7885,1964, we have to find the factors of both numbers and list the highest common factor.

The factors of 7885 are 1, 5, 19, 83, 95, 415, 1577, 7885

The factors of 1964 are 1, 2, 4, 491, 982, 1964

The HCF of 7885,1964 is 1.

Lets's calculate GCF of 7885,1964

Greatest Common Factor (GCF) of 7885,1964 By Common Division

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

Greatest Common Factor of 7885,1964 By Matching Biggest Common Factor Method

Now, list down the factors of 7885

1,5,19,83,95,415,1577,7885

Now, list down the factors of 1964

1,2,4,491,982,1964

Greatest Common Factor

We found the factors 7885,1964 . The biggest common factor number is the GCF number.
So the greatest common factor 7885,1964 is 1.

Lets's calculate LCM of 880,870

Lowest Common Multiple of 880,870 using Common Division

2	880, 870
5	440, 435
	88, 87

∴ So the LCM of the given numbers is 2 x 5 x 88 x 87 = 76560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76560

Therefore, the GCF of Fractions 7885/880,1964/870 is 1/76560

Least Common Multiple of 880,870 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 880,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(880,870) = 10

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

GCF(880,870) x common factors =10 x 1 = 10

LCM(880,870) = ( 880 × 870 ) / 10

LCM(880,870) = 765600 / 10

LCM(880,870) = 76560

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FAQs on GCF of Fractions of 7885/880, 1964/870

1. What is the HCF of 7885,1964?

The HCF of 7885,1964 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 7885/880, 1964/870?

Answer: GCF of Numerators as per given numbers 7885/880, 1964/870 is

GCF of Numerators i.e. for 7885,1964 is 1

LCM of denominators i.e. for 880,870 is 76560.

Thus, GCF of Fractions is 1/76560.Finally, GCF of Fractions for 7885/880, 1964/870 is 1/76560.