How to Find GCF of 3623/914, 2407/8503?

GCF of 3623/914, 2407/8503

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 3623/914, 2407/8503 i.e 1/7771742 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3623/914, 2407/8503.

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 3623/914,2407/8503?

Given fractions are 3623/914,2407/8503

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 3623/914,2407/8503, numerators are 3623,2407

Denominators are 914,8503

The GCF of 3623,2407 is 1 .

LCM of 914,8503 is 7771742.

The greatest common factor of 3623/914,2407/8503 = [GCF of 3623,2407]/[LCM of 914,8503]= 1/7771742

Therefore, the GCF of 3623/914,2407/8503 is 1/7771742.

Greatest Common Factor of 3623,2407

To find the highest common factor of 3623,2407, we have to find the factors of both numbers and list the highest common factor.

The factors of 3623 are 1, 3623

The factors of 2407 are 1, 29, 83, 2407

The HCF of 3623,2407 is 1.

Lets's calculate GCF of 3623,2407

Greatest Common Factor (GCF) of 3623,2407 By Common Division

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

Greatest Common Factor of 3623,2407 By Matching Biggest Common Factor Method

Now, list down the factors of 3623

1,3623

Now, list down the factors of 2407

1,29,83,2407

Greatest Common Factor

We found the factors 3623,2407 . The biggest common factor number is the GCF number.
So the greatest common factor 3623,2407 is 1.

Lets's calculate LCM of 914,8503

Lowest Common Multiple of 914,8503 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7771742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7771742

Therefore, the GCF of Fractions 3623/914,2407/8503 is 1/7771742

Least Common Multiple of 914,8503 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 914,8503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(914,8503) = 1

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

GCF(914,8503) x common factors =1 x 1 = 1

LCM(914,8503) = ( 914 × 8503 ) / 1

LCM(914,8503) = 7771742 / 1

LCM(914,8503) = 7771742

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FAQs on GCF of Fractions of 3623/914, 2407/8503

1. What is the HCF of 3623,2407?

The HCF of 3623,2407 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 3623/914, 2407/8503?

Answer: GCF of Numerators as per given numbers 3623/914, 2407/8503 is

GCF of Numerators i.e. for 3623,2407 is 1

LCM of denominators i.e. for 914,8503 is 7771742.

Thus, GCF of Fractions is 1/7771742.Finally, GCF of Fractions for 3623/914, 2407/8503 is 1/7771742.