How to Find GCF of 7785/332, 7902/537?

GCF of 7785/332, 7902/537

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 7785/332, 7902/537 i.e 9/178284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7785/332, 7902/537.

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 7785/332,7902/537?

Given fractions are 7785/332,7902/537

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 7785/332,7902/537, numerators are 7785,7902

Denominators are 332,537

The GCF of 7785,7902 is 9 .

LCM of 332,537 is 178284.

The greatest common factor of 7785/332,7902/537 = [GCF of 7785,7902]/[LCM of 332,537]= 9/178284

Therefore, the GCF of 7785/332,7902/537 is 9/178284.

Greatest Common Factor of 7785,7902

To find the highest common factor of 7785,7902, we have to find the factors of both numbers and list the highest common factor.

The factors of 7785 are 1, 3, 5, 9, 15, 45, 173, 519, 865, 1557, 2595, 7785

The factors of 7902 are 1, 2, 3, 6, 9, 18, 439, 878, 1317, 2634, 3951, 7902

The HCF of 7785,7902 is 9.

Lets's calculate GCF of 7785,7902

Greatest Common Factor (GCF) of 7785,7902 By Common Division

3	7785, 7902
3	2595, 2634
	865, 878

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 7785,7902 By Matching Biggest Common Factor Method

Now, list down the factors of 7785

1,3,5,9,15,45,173,519,865,1557,2595,7785

Now, list down the factors of 7902

1,2,3,6,9,18,439,878,1317,2634,3951,7902

Greatest Common Factor

We found the factors 7785,7902 . The biggest common factor number is the GCF number.
So the greatest common factor 7785,7902 is 9.

Lets's calculate LCM of 332,537

Lowest Common Multiple of 332,537 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 178284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/178284

Therefore, the GCF of Fractions 7785/332,7902/537 is 9/178284

Least Common Multiple of 332,537 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 332,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(332,537) = 1

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

GCF(332,537) x common factors =1 x 1 = 1

LCM(332,537) = ( 332 × 537 ) / 1

LCM(332,537) = 178284 / 1

LCM(332,537) = 178284

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FAQs on GCF of Fractions of 7785/332, 7902/537

1. What is the HCF of 7785,7902?

The HCF of 7785,7902 is 9

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 7785/332, 7902/537?

Answer: GCF of Numerators as per given numbers 7785/332, 7902/537 is

GCF of Numerators i.e. for 7785,7902 is 9

LCM of denominators i.e. for 332,537 is 178284.

Thus, GCF of Fractions is 9/178284.Finally, GCF of Fractions for 7785/332, 7902/537 is 9/178284.