How to Find GCF of 7247/164, 8070/7584?

GCF of 7247/164, 8070/7584

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 7247/164, 8070/7584 i.e 1/310944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7247/164, 8070/7584.

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 7247/164,8070/7584?

Given fractions are 7247/164,8070/7584

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 7247/164,8070/7584, numerators are 7247,8070

Denominators are 164,7584

The GCF of 7247,8070 is 1 .

LCM of 164,7584 is 310944.

The greatest common factor of 7247/164,8070/7584 = [GCF of 7247,8070]/[LCM of 164,7584]= 1/310944

Therefore, the GCF of 7247/164,8070/7584 is 1/310944.

Greatest Common Factor of 7247,8070

To find the highest common factor of 7247,8070, we have to find the factors of both numbers and list the highest common factor.

The factors of 7247 are 1, 7247

The factors of 8070 are 1, 2, 3, 5, 6, 10, 15, 30, 269, 538, 807, 1345, 1614, 2690, 4035, 8070

The HCF of 7247,8070 is 1.

Lets's calculate GCF of 7247,8070

Greatest Common Factor (GCF) of 7247,8070 By Common Division

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

Greatest Common Factor of 7247,8070 By Matching Biggest Common Factor Method

Now, list down the factors of 7247

1,7247

Now, list down the factors of 8070

1,2,3,5,6,10,15,30,269,538,807,1345,1614,2690,4035,8070

Greatest Common Factor

We found the factors 7247,8070 . The biggest common factor number is the GCF number.
So the greatest common factor 7247,8070 is 1.

Lets's calculate LCM of 164,7584

Lowest Common Multiple of 164,7584 using Common Division

2	164, 7584
2	82, 3792
	41, 1896

∴ So the LCM of the given numbers is 2 x 2 x 41 x 1896 = 310944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/310944

Therefore, the GCF of Fractions 7247/164,8070/7584 is 1/310944

Least Common Multiple of 164,7584 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 164,7584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,7584) = 4

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

GCF(164,7584) x common factors =4 x 1 = 4

LCM(164,7584) = ( 164 × 7584 ) / 4

LCM(164,7584) = 1243776 / 4

LCM(164,7584) = 310944

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FAQs on GCF of Fractions of 7247/164, 8070/7584

1. What is the HCF of 7247,8070?

The HCF of 7247,8070 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 7247/164, 8070/7584?

Answer: GCF of Numerators as per given numbers 7247/164, 8070/7584 is

GCF of Numerators i.e. for 7247,8070 is 1

LCM of denominators i.e. for 164,7584 is 310944.

Thus, GCF of Fractions is 1/310944.Finally, GCF of Fractions for 7247/164, 8070/7584 is 1/310944.