How to Find GCF of 7567/222, 2699/9004?

GCF of 7567/222, 2699/9004

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 7567/222, 2699/9004 i.e 1/999444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7567/222, 2699/9004.

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 7567/222,2699/9004?

Given fractions are 7567/222,2699/9004

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 7567/222,2699/9004, numerators are 7567,2699

Denominators are 222,9004

The GCF of 7567,2699 is 1 .

LCM of 222,9004 is 999444.

The greatest common factor of 7567/222,2699/9004 = [GCF of 7567,2699]/[LCM of 222,9004]= 1/999444

Therefore, the GCF of 7567/222,2699/9004 is 1/999444.

Greatest Common Factor of 7567,2699

To find the highest common factor of 7567,2699, 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 2699 are 1, 2699

The HCF of 7567,2699 is 1.

Lets's calculate GCF of 7567,2699

Greatest Common Factor (GCF) of 7567,2699 By Common Division

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

Greatest Common Factor of 7567,2699 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 2699

1,2699

Greatest Common Factor

We found the factors 7567,2699 . The biggest common factor number is the GCF number.
So the greatest common factor 7567,2699 is 1.

Lets's calculate LCM of 222,9004

Lowest Common Multiple of 222,9004 using Common Division

2	222, 9004
	111, 4502

∴ So the LCM of the given numbers is 2 x 111 x 4502 = 999444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/999444

Therefore, the GCF of Fractions 7567/222,2699/9004 is 1/999444

Least Common Multiple of 222,9004 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 222,9004 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,9004) = 2

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

GCF(222,9004) x common factors =2 x 1 = 2

LCM(222,9004) = ( 222 × 9004 ) / 2

LCM(222,9004) = 1998888 / 2

LCM(222,9004) = 999444

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FAQs on GCF of Fractions of 7567/222, 2699/9004

1. What is the HCF of 7567,2699?

The HCF of 7567,2699 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 7567/222, 2699/9004?

Answer: GCF of Numerators as per given numbers 7567/222, 2699/9004 is

GCF of Numerators i.e. for 7567,2699 is 1

LCM of denominators i.e. for 222,9004 is 999444.

Thus, GCF of Fractions is 1/999444.Finally, GCF of Fractions for 7567/222, 2699/9004 is 1/999444.