How to Find GCF of 84/653, 8152/6926?

GCF of 84/653, 8152/6926

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 84/653, 8152/6926 i.e 4/4522678 easily. The following is the detailed procedure to determine the greatest common factor of fractions 84/653, 8152/6926.

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 84/653,8152/6926?

Given fractions are 84/653,8152/6926

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 84/653,8152/6926, numerators are 84,8152

Denominators are 653,6926

The GCF of 84,8152 is 4 .

LCM of 653,6926 is 4522678.

The greatest common factor of 84/653,8152/6926 = [GCF of 84,8152]/[LCM of 653,6926]= 4/4522678

Therefore, the GCF of 84/653,8152/6926 is 4/4522678.

Greatest Common Factor of 84,8152

To find the highest common factor of 84,8152, we have to find the factors of both numbers and list the highest common factor.

The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The factors of 8152 are 1, 2, 4, 8, 1019, 2038, 4076, 8152

The HCF of 84,8152 is 4.

Lets's calculate GCF of 84,8152

Greatest Common Factor (GCF) of 84,8152 By Common Division

2	84, 8152
2	42, 4076
	21, 2038

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 84,8152 By Matching Biggest Common Factor Method

Now, list down the factors of 84

1,2,3,4,6,7,12,14,21,28,42,84

Now, list down the factors of 8152

1,2,4,8,1019,2038,4076,8152

Greatest Common Factor

We found the factors 84,8152 . The biggest common factor number is the GCF number.
So the greatest common factor 84,8152 is 4.

Lets's calculate LCM of 653,6926

Lowest Common Multiple of 653,6926 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4522678

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4522678

Therefore, the GCF of Fractions 84/653,8152/6926 is 4/4522678

Least Common Multiple of 653,6926 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 653,6926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(653,6926) = 1

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

GCF(653,6926) x common factors =1 x 1 = 1

LCM(653,6926) = ( 653 × 6926 ) / 1

LCM(653,6926) = 4522678 / 1

LCM(653,6926) = 4522678

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FAQs on GCF of Fractions of 84/653, 8152/6926

1. What is the HCF of 84,8152?

The HCF of 84,8152 is 4

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 84/653, 8152/6926?

Answer: GCF of Numerators as per given numbers 84/653, 8152/6926 is

GCF of Numerators i.e. for 84,8152 is 4

LCM of denominators i.e. for 653,6926 is 4522678.

Thus, GCF of Fractions is 4/4522678.Finally, GCF of Fractions for 84/653, 8152/6926 is 4/4522678.