Greatest Common Factor of 9755/164, 3525/8820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9755/164, 3525/8820

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 9755/164,3525/8820

Given fractions are 9755/164,3525/8820

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 9755,3525

Greatest Common Factor of Numerators i.e. GCF of 9755,3525 is 5 .

LCM of Denominators means LCM of 164,8820 as per the given fractions.

LCM of 164,8820 is 361620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9755,3525

GCF of Fractions 9755/164,3525/8820 is 5/361620

5 9755, 3525
1951, 705

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 9755,3525 By Matching Biggest Common Factor Method

Greatest Common Factor of 9755,3525 By Matching Biggest Common Factor Method

Factors of 9755

List of positive integer factors of 9755 that divides 9755 without a remainder.

1,5,1951,9755

Factors of 3525

List of positive integer factors of 3525 that divides 3525 without a remainder.

1,3,5,15,25,47,75,141,235,705,1175,3525

Greatest Common Factor

We found the factors 9755,3525 . The biggest common factor number is the GCF number.
So the greatest common factor 9755,3525 is 5.

Lets's calculate LCM of 164,8820

2 164, 8820
2 82, 4410
41, 2205

∴ So the LCM of the given numbers is 2 x 2 x 41 x 2205 = 361620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/361620

Therefore, the GCF of Fractions 9755/164,3525/8820 is 5/361620

Least Common Multiple of 164,8820 with GCF Formula

Least Common Multiple of 164,8820 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 164,8820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,8820) = 4

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

GCF(164,8820) x common factors =4 x 1 = 4

LCM(164,8820) = ( 164 × 8820 ) / 4

LCM(164,8820) = 1446480 / 4

LCM(164,8820) = 361620


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 9755/164, 3525/8820

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 9755/164, 3525/8820?

Answer: GCF of Numerators as per given numbers 9755/164, 3525/8820 is

GCF of Numerators i.e. for 9755,3525 is 5

LCM of denominators i.e. for 164,8820 is 361620.

Thus, GCF of Fractions is 5/361620.Finally, GCF of Fractions for 9755/164, 3525/8820 is 5/361620.