Greatest Common Factor of 1624/727, 9676/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1624/727, 9676/965

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 1624/727,9676/965

Given fractions are 1624/727,9676/965

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 1624,9676

Greatest Common Factor of Numerators i.e. GCF of 1624,9676 is 4 .

LCM of Denominators means LCM of 727,965 as per the given fractions.

LCM of 727,965 is 701555 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1624,9676

GCF of Fractions 1624/727,9676/965 is 4/701555

2 1624, 9676
2 812, 4838
406, 2419

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1624,9676 By Matching Biggest Common Factor Method

Greatest Common Factor of 1624,9676 By Matching Biggest Common Factor Method

Factors of 1624

List of positive integer factors of 1624 that divides 1624 without a remainder.

1,2,4,7,8,14,28,29,56,58,116,203,232,406,812,1624

Factors of 9676

List of positive integer factors of 9676 that divides 9676 without a remainder.

1,2,4,41,59,82,118,164,236,2419,4838,9676

Greatest Common Factor

We found the factors 1624,9676 . The biggest common factor number is the GCF number.
So the greatest common factor 1624,9676 is 4.

Lets's calculate LCM of 727,965

Given numbers has no common factors except 1. So, there LCM is their product i.e 701555

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/701555

Therefore, the GCF of Fractions 1624/727,9676/965 is 4/701555

Least Common Multiple of 727,965 with GCF Formula

Least Common Multiple of 727,965 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 727,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,965) = 1

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

GCF(727,965) x common factors =1 x 1 = 1

LCM(727,965) = ( 727 × 965 ) / 1

LCM(727,965) = 701555 / 1

LCM(727,965) = 701555


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 1624/727, 9676/965

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 1624/727, 9676/965?

Answer: GCF of Numerators as per given numbers 1624/727, 9676/965 is

GCF of Numerators i.e. for 1624,9676 is 4

LCM of denominators i.e. for 727,965 is 701555.

Thus, GCF of Fractions is 4/701555.Finally, GCF of Fractions for 1624/727, 9676/965 is 4/701555.