How to Find GCF of 8116/666, 1572/9845?

GCF of 8116/666, 1572/9845

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 8116/666, 1572/9845 i.e 4/6556770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8116/666, 1572/9845.

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 8116/666,1572/9845?

Given fractions are 8116/666,1572/9845

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 8116/666,1572/9845, numerators are 8116,1572

Denominators are 666,9845

The GCF of 8116,1572 is 4 .

LCM of 666,9845 is 6556770.

The greatest common factor of 8116/666,1572/9845 = [GCF of 8116,1572]/[LCM of 666,9845]= 4/6556770

Therefore, the GCF of 8116/666,1572/9845 is 4/6556770.

Greatest Common Factor of 8116,1572

To find the highest common factor of 8116,1572, we have to find the factors of both numbers and list the highest common factor.

The factors of 8116 are 1, 2, 4, 2029, 4058, 8116

The factors of 1572 are 1, 2, 3, 4, 6, 12, 131, 262, 393, 524, 786, 1572

The HCF of 8116,1572 is 4.

Lets's calculate GCF of 8116,1572

Greatest Common Factor (GCF) of 8116,1572 By Common Division

2	8116, 1572
2	4058, 786
	2029, 393

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

Greatest Common Factor of 8116,1572 By Matching Biggest Common Factor Method

Now, list down the factors of 8116

1,2,4,2029,4058,8116

Now, list down the factors of 1572

1,2,3,4,6,12,131,262,393,524,786,1572

Greatest Common Factor

We found the factors 8116,1572 . The biggest common factor number is the GCF number.
So the greatest common factor 8116,1572 is 4.

Lets's calculate LCM of 666,9845

Lowest Common Multiple of 666,9845 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6556770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6556770

Therefore, the GCF of Fractions 8116/666,1572/9845 is 4/6556770

Least Common Multiple of 666,9845 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 666,9845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,9845) = 1

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

GCF(666,9845) x common factors =1 x 1 = 1

LCM(666,9845) = ( 666 × 9845 ) / 1

LCM(666,9845) = 6556770 / 1

LCM(666,9845) = 6556770

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FAQs on GCF of Fractions of 8116/666, 1572/9845

1. What is the HCF of 8116,1572?

The HCF of 8116,1572 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 8116/666, 1572/9845?

Answer: GCF of Numerators as per given numbers 8116/666, 1572/9845 is

GCF of Numerators i.e. for 8116,1572 is 4

LCM of denominators i.e. for 666,9845 is 6556770.

Thus, GCF of Fractions is 4/6556770.Finally, GCF of Fractions for 8116/666, 1572/9845 is 4/6556770.