How to Find GCF of 7567/333, 7603/8227?

GCF of 7567/333, 7603/8227

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 7567/333, 7603/8227 i.e 1/2739591 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7567/333, 7603/8227.

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 7567/333,7603/8227?

Given fractions are 7567/333,7603/8227

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 7567/333,7603/8227, numerators are 7567,7603

Denominators are 333,8227

The GCF of 7567,7603 is 1 .

LCM of 333,8227 is 2739591.

The greatest common factor of 7567/333,7603/8227 = [GCF of 7567,7603]/[LCM of 333,8227]= 1/2739591

Therefore, the GCF of 7567/333,7603/8227 is 1/2739591.

Greatest Common Factor of 7567,7603

To find the highest common factor of 7567,7603, we have to find the factors of both numbers and list the highest common factor.

The factors of 7567 are 1, 7, 23, 47, 161, 329, 1081, 7567

The factors of 7603 are 1, 7603

The HCF of 7567,7603 is 1.

Lets's calculate GCF of 7567,7603

Greatest Common Factor (GCF) of 7567,7603 By Common Division

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

Greatest Common Factor of 7567,7603 By Matching Biggest Common Factor Method

Now, list down the factors of 7567

1,7,23,47,161,329,1081,7567

Now, list down the factors of 7603

1,7603

Greatest Common Factor

We found the factors 7567,7603 . The biggest common factor number is the GCF number.
So the greatest common factor 7567,7603 is 1.

Lets's calculate LCM of 333,8227

Lowest Common Multiple of 333,8227 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2739591

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2739591

Therefore, the GCF of Fractions 7567/333,7603/8227 is 1/2739591

Least Common Multiple of 333,8227 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 333,8227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(333,8227) = 1

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

GCF(333,8227) x common factors =1 x 1 = 1

LCM(333,8227) = ( 333 × 8227 ) / 1

LCM(333,8227) = 2739591 / 1

LCM(333,8227) = 2739591

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FAQs on GCF of Fractions of 7567/333, 7603/8227

1. What is the HCF of 7567,7603?

The HCF of 7567,7603 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 7567/333, 7603/8227?

Answer: GCF of Numerators as per given numbers 7567/333, 7603/8227 is

GCF of Numerators i.e. for 7567,7603 is 1

LCM of denominators i.e. for 333,8227 is 2739591.

Thus, GCF of Fractions is 1/2739591.Finally, GCF of Fractions for 7567/333, 7603/8227 is 1/2739591.