Greatest Common Factor of 65/66, 880/86, 971/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/66, 880/86, 971/375

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 65/66,880/86,971/375

Given fractions are 65/66,880/86,971/375

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 65,880,971

Greatest Common Factor of Numerators i.e. GCF of 65,880,971 is 1 .

LCM of Denominators means LCM of 66,86,375 as per the given fractions.

LCM of 66,86,375 is 354750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,880,971

GCF of Fractions 65/66,880/86,971/375 is 1/354750

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

Greatest Common Factor of 65,880,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,880,971 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Greatest Common Factor

We found the factors 65,880,971 . The biggest common factor number is the GCF number.
So the greatest common factor 65,880,971 is 1.

Lets's calculate LCM of 66,86,375

2 66, 86, 375
3 33, 43, 375
11, 43, 125

∴ So the LCM of the given numbers is 2 x 3 x 11 x 43 x 125 = 354750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/354750

Therefore, the GCF of Fractions 65/66,880/86,971/375 is 1/354750

Least Common Multiple of 66,86,375 with GCF Formula

Least Common Multiple of 66,86,375 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 66,86,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,86,375) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(66,86,375) x common factors =1 x 6 = 6

LCM(66,86,375) = ( 66 × 86 × 375 ) / 6

LCM(66,86,375) = 2128500 / 6

LCM(66,86,375) = 354750


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 65/66, 880/86, 971/375

1. 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.

2. What is the GCF of Fractions for 65/66, 880/86, 971/375?

Answer: GCF of Numerators as per given numbers 65/66, 880/86, 971/375 is

GCF of Numerators i.e. for 65,880,971 is 1

LCM of denominators i.e. for 66,86,375 is 354750.

Thus, GCF of Fractions is 1/354750.Finally, GCF of Fractions for 65/66, 880/86, 971/375 is 1/354750.