How to Find GCF of 6100/856, 1417/7966?

GCF of 6100/856, 1417/7966

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 6100/856, 1417/7966 i.e 1/3409448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6100/856, 1417/7966.

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 6100/856,1417/7966?

Given fractions are 6100/856,1417/7966

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 6100/856,1417/7966, numerators are 6100,1417

Denominators are 856,7966

The GCF of 6100,1417 is 1 .

LCM of 856,7966 is 3409448.

The greatest common factor of 6100/856,1417/7966 = [GCF of 6100,1417]/[LCM of 856,7966]= 1/3409448

Therefore, the GCF of 6100/856,1417/7966 is 1/3409448.

Greatest Common Factor of 6100,1417

To find the highest common factor of 6100,1417, we have to find the factors of both numbers and list the highest common factor.

The factors of 6100 are 1, 2, 4, 5, 10, 20, 25, 50, 61, 100, 122, 244, 305, 610, 1220, 1525, 3050, 6100

The factors of 1417 are 1, 13, 109, 1417

The HCF of 6100,1417 is 1.

Lets's calculate GCF of 6100,1417

Greatest Common Factor (GCF) of 6100,1417 By Common Division

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

Greatest Common Factor of 6100,1417 By Matching Biggest Common Factor Method

Now, list down the factors of 6100

1,2,4,5,10,20,25,50,61,100,122,244,305,610,1220,1525,3050,6100

Now, list down the factors of 1417

1,13,109,1417

Greatest Common Factor

We found the factors 6100,1417 . The biggest common factor number is the GCF number.
So the greatest common factor 6100,1417 is 1.

Lets's calculate LCM of 856,7966

Lowest Common Multiple of 856,7966 using Common Division

2	856, 7966
	428, 3983

∴ So the LCM of the given numbers is 2 x 428 x 3983 = 3409448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3409448

Therefore, the GCF of Fractions 6100/856,1417/7966 is 1/3409448

Least Common Multiple of 856,7966 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 856,7966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(856,7966) = 2

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

GCF(856,7966) x common factors =2 x 1 = 2

LCM(856,7966) = ( 856 × 7966 ) / 2

LCM(856,7966) = 6818896 / 2

LCM(856,7966) = 3409448

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FAQs on GCF of Fractions of 6100/856, 1417/7966

1. What is the HCF of 6100,1417?

The HCF of 6100,1417 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 6100/856, 1417/7966?

Answer: GCF of Numerators as per given numbers 6100/856, 1417/7966 is

GCF of Numerators i.e. for 6100,1417 is 1

LCM of denominators i.e. for 856,7966 is 3409448.

Thus, GCF of Fractions is 1/3409448.Finally, GCF of Fractions for 6100/856, 1417/7966 is 1/3409448.