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GCF of 920/153, 9645/9412

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 920/153, 9645/9412 i.e 5/1440036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 920/153, 9645/9412.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 920/153,9645/9412?

Given fractions are 920/153,9645/9412

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 920/153,9645/9412, numerators are 920,9645

Denominators are 153,9412

The GCF of 920,9645 is 5 .

LCM of 153,9412 is 1440036.

The greatest common factor of 920/153,9645/9412 = [GCF of 920,9645]/[LCM of 153,9412]= 5/1440036

Therefore, the GCF of 920/153,9645/9412 is 5/1440036.

Greatest Common Factor of 920,9645

To find the highest common factor of 920,9645, we have to find the factors of both numbers and list the highest common factor.

The factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

The factors of 9645 are 1, 3, 5, 15, 643, 1929, 3215, 9645

The HCF of 920,9645 is 5.

Lets's calculate GCF of 920,9645

Greatest Common Factor (GCF) of 920,9645 By Common Division

5 920, 9645
184, 1929

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

Greatest Common Factor of 920,9645 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,9645 By Matching Biggest Common Factor Method

Now, list down the factors of 920

:

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Now, list down the factors of 9645

:

1,3,5,15,643,1929,3215,9645

Greatest Common Factor

We found the factors 920,9645 . The biggest common factor number is the GCF number.
So the greatest common factor 920,9645 is 5.


Lets's calculate LCM of 153,9412

Lowest Common Multiple of 153,9412 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1440036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1440036

Therefore, the GCF of Fractions 920/153,9645/9412 is 5/1440036

Least Common Multiple of 153,9412 with GCF Formula

Least Common Multiple of 153,9412 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 153,9412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(153,9412) = 1

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

GCF(153,9412) x common factors =1 x 1 = 1

LCM(153,9412) = ( 153 × 9412 ) / 1

LCM(153,9412) = 1440036 / 1

LCM(153,9412) = 1440036


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 920/153, 9645/9412

1. What is the HCF of 920,9645?

The HCF of 920,9645 is 5

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 920/153, 9645/9412?

Answer: GCF of Numerators as per given numbers 920/153, 9645/9412 is

GCF of Numerators i.e. for 920,9645 is 5

LCM of denominators i.e. for 153,9412 is 1440036.

Thus, GCF of Fractions is 5/1440036.Finally, GCF of Fractions for 920/153, 9645/9412 is 5/1440036.