How to Find GCF of 869/96, 810/528?

GCF of 869/96, 810/528

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 869/96, 810/528 i.e 1/1056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 869/96, 810/528.

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 869/96,810/528?

Given fractions are 869/96,810/528

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 869/96,810/528, numerators are 869,810

Denominators are 96,528

The GCF of 869,810 is 1 .

LCM of 96,528 is 1056.

The greatest common factor of 869/96,810/528 = [GCF of 869,810]/[LCM of 96,528]= 1/1056

Therefore, the GCF of 869/96,810/528 is 1/1056.

Greatest Common Factor of 869,810

To find the highest common factor of 869,810, we have to find the factors of both numbers and list the highest common factor.

The factors of 869 are 1, 11, 79, 869

The factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

The HCF of 869,810 is 1.

Lets's calculate GCF of 869,810

Greatest Common Factor (GCF) of 869,810 By Common Division

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

Greatest Common Factor of 869,810 By Matching Biggest Common Factor Method

Now, list down the factors of 869

1,11,79,869

Now, list down the factors of 810

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 869,810 . The biggest common factor number is the GCF number.
So the greatest common factor 869,810 is 1.

Lets's calculate LCM of 96,528

Lowest Common Multiple of 96,528 using Common Division

2	96, 528
2	48, 264
2	24, 132
2	12, 66
3	6, 33
	2, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 2 x 11 = 1056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1056

Therefore, the GCF of Fractions 869/96,810/528 is 1/1056

Least Common Multiple of 96,528 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 96,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,528) = 48

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

GCF(96,528) x common factors =48 x 1 = 48

LCM(96,528) = ( 96 × 528 ) / 48

LCM(96,528) = 50688 / 48

LCM(96,528) = 1056

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FAQs on GCF of Fractions of 869/96, 810/528

1. What is the HCF of 869,810?

The HCF of 869,810 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 869/96, 810/528?

Answer: GCF of Numerators as per given numbers 869/96, 810/528 is

GCF of Numerators i.e. for 869,810 is 1

LCM of denominators i.e. for 96,528 is 1056.

Thus, GCF of Fractions is 1/1056.Finally, GCF of Fractions for 869/96, 810/528 is 1/1056.