How to Find GCF of 851/108, 2249/596?

GCF of 851/108, 2249/596

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 851/108, 2249/596 i.e 1/16092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 851/108, 2249/596.

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 851/108,2249/596?

Given fractions are 851/108,2249/596

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 851/108,2249/596, numerators are 851,2249

Denominators are 108,596

The GCF of 851,2249 is 1 .

LCM of 108,596 is 16092.

The greatest common factor of 851/108,2249/596 = [GCF of 851,2249]/[LCM of 108,596]= 1/16092

Therefore, the GCF of 851/108,2249/596 is 1/16092.

Greatest Common Factor of 851,2249

To find the highest common factor of 851,2249, we have to find the factors of both numbers and list the highest common factor.

The factors of 851 are 1, 23, 37, 851

The factors of 2249 are 1, 13, 173, 2249

The HCF of 851,2249 is 1.

Lets's calculate GCF of 851,2249

Greatest Common Factor (GCF) of 851,2249 By Common Division

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

Greatest Common Factor of 851,2249 By Matching Biggest Common Factor Method

Now, list down the factors of 851

1,23,37,851

Now, list down the factors of 2249

1,13,173,2249

Greatest Common Factor

We found the factors 851,2249 . The biggest common factor number is the GCF number.
So the greatest common factor 851,2249 is 1.

Lets's calculate LCM of 108,596

Lowest Common Multiple of 108,596 using Common Division

2	108, 596
2	54, 298
	27, 149

∴ So the LCM of the given numbers is 2 x 2 x 27 x 149 = 16092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16092

Therefore, the GCF of Fractions 851/108,2249/596 is 1/16092

Least Common Multiple of 108,596 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 108,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,596) = 4

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

GCF(108,596) x common factors =4 x 1 = 4

LCM(108,596) = ( 108 × 596 ) / 4

LCM(108,596) = 64368 / 4

LCM(108,596) = 16092

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FAQs on GCF of Fractions of 851/108, 2249/596

1. What is the HCF of 851,2249?

The HCF of 851,2249 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 851/108, 2249/596?

Answer: GCF of Numerators as per given numbers 851/108, 2249/596 is

GCF of Numerators i.e. for 851,2249 is 1

LCM of denominators i.e. for 108,596 is 16092.

Thus, GCF of Fractions is 1/16092.Finally, GCF of Fractions for 851/108, 2249/596 is 1/16092.