How to Find GCF of 7603/788, 8551/9545?

GCF of 7603/788, 8551/9545

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 7603/788, 8551/9545 i.e 1/7521460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7603/788, 8551/9545.

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 7603/788,8551/9545?

Given fractions are 7603/788,8551/9545

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 7603/788,8551/9545, numerators are 7603,8551

Denominators are 788,9545

The GCF of 7603,8551 is 1 .

LCM of 788,9545 is 7521460.

The greatest common factor of 7603/788,8551/9545 = [GCF of 7603,8551]/[LCM of 788,9545]= 1/7521460

Therefore, the GCF of 7603/788,8551/9545 is 1/7521460.

Greatest Common Factor of 7603,8551

To find the highest common factor of 7603,8551, we have to find the factors of both numbers and list the highest common factor.

The factors of 7603 are 1, 7603

The factors of 8551 are 1, 17, 503, 8551

The HCF of 7603,8551 is 1.

Lets's calculate GCF of 7603,8551

Greatest Common Factor (GCF) of 7603,8551 By Common Division

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

Greatest Common Factor of 7603,8551 By Matching Biggest Common Factor Method

Now, list down the factors of 7603

1,7603

Now, list down the factors of 8551

1,17,503,8551

Greatest Common Factor

We found the factors 7603,8551 . The biggest common factor number is the GCF number.
So the greatest common factor 7603,8551 is 1.

Lets's calculate LCM of 788,9545

Lowest Common Multiple of 788,9545 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7521460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7521460

Therefore, the GCF of Fractions 7603/788,8551/9545 is 1/7521460

Least Common Multiple of 788,9545 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 788,9545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,9545) = 1

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

GCF(788,9545) x common factors =1 x 1 = 1

LCM(788,9545) = ( 788 × 9545 ) / 1

LCM(788,9545) = 7521460 / 1

LCM(788,9545) = 7521460

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FAQs on GCF of Fractions of 7603/788, 8551/9545

1. What is the HCF of 7603,8551?

The HCF of 7603,8551 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 7603/788, 8551/9545?

Answer: GCF of Numerators as per given numbers 7603/788, 8551/9545 is

GCF of Numerators i.e. for 7603,8551 is 1

LCM of denominators i.e. for 788,9545 is 7521460.

Thus, GCF of Fractions is 1/7521460.Finally, GCF of Fractions for 7603/788, 8551/9545 is 1/7521460.