How to Find GCF of 3625/309, 7703/8369?

GCF of 3625/309, 7703/8369

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 3625/309, 7703/8369 i.e 1/2586021 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3625/309, 7703/8369.

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 3625/309,7703/8369?

Given fractions are 3625/309,7703/8369

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 3625/309,7703/8369, numerators are 3625,7703

Denominators are 309,8369

The GCF of 3625,7703 is 1 .

LCM of 309,8369 is 2586021.

The greatest common factor of 3625/309,7703/8369 = [GCF of 3625,7703]/[LCM of 309,8369]= 1/2586021

Therefore, the GCF of 3625/309,7703/8369 is 1/2586021.

Greatest Common Factor of 3625,7703

To find the highest common factor of 3625,7703, we have to find the factors of both numbers and list the highest common factor.

The factors of 3625 are 1, 5, 25, 29, 125, 145, 725, 3625

The factors of 7703 are 1, 7703

The HCF of 3625,7703 is 1.

Lets's calculate GCF of 3625,7703

Greatest Common Factor (GCF) of 3625,7703 By Common Division

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

Greatest Common Factor of 3625,7703 By Matching Biggest Common Factor Method

Now, list down the factors of 3625

1,5,25,29,125,145,725,3625

Now, list down the factors of 7703

1,7703

Greatest Common Factor

We found the factors 3625,7703 . The biggest common factor number is the GCF number.
So the greatest common factor 3625,7703 is 1.

Lets's calculate LCM of 309,8369

Lowest Common Multiple of 309,8369 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2586021

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2586021

Therefore, the GCF of Fractions 3625/309,7703/8369 is 1/2586021

Least Common Multiple of 309,8369 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 309,8369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,8369) = 1

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

GCF(309,8369) x common factors =1 x 1 = 1

LCM(309,8369) = ( 309 × 8369 ) / 1

LCM(309,8369) = 2586021 / 1

LCM(309,8369) = 2586021

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FAQs on GCF of Fractions of 3625/309, 7703/8369

1. What is the HCF of 3625,7703?

The HCF of 3625,7703 is 1

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 3625/309, 7703/8369?

Answer: GCF of Numerators as per given numbers 3625/309, 7703/8369 is

GCF of Numerators i.e. for 3625,7703 is 1

LCM of denominators i.e. for 309,8369 is 2586021.

Thus, GCF of Fractions is 1/2586021.Finally, GCF of Fractions for 3625/309, 7703/8369 is 1/2586021.