How to Find GCF of 1837/556, 8437/624?

GCF of 1837/556, 8437/624

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 1837/556, 8437/624 i.e 11/86736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1837/556, 8437/624.

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 1837/556,8437/624?

Given fractions are 1837/556,8437/624

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 1837/556,8437/624, numerators are 1837,8437

Denominators are 556,624

The GCF of 1837,8437 is 11 .

LCM of 556,624 is 86736.

The greatest common factor of 1837/556,8437/624 = [GCF of 1837,8437]/[LCM of 556,624]= 11/86736

Therefore, the GCF of 1837/556,8437/624 is 11/86736.

Greatest Common Factor of 1837,8437

To find the highest common factor of 1837,8437, we have to find the factors of both numbers and list the highest common factor.

The factors of 1837 are 1, 11, 167, 1837

The factors of 8437 are 1, 11, 13, 59, 143, 649, 767, 8437

The HCF of 1837,8437 is 11.

Lets's calculate GCF of 1837,8437

Greatest Common Factor (GCF) of 1837,8437 By Common Division

11	1837, 8437
	167, 767

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 1837,8437 By Matching Biggest Common Factor Method

Now, list down the factors of 1837

1,11,167,1837

Now, list down the factors of 8437

1,11,13,59,143,649,767,8437

Greatest Common Factor

We found the factors 1837,8437 . The biggest common factor number is the GCF number.
So the greatest common factor 1837,8437 is 11.

Lets's calculate LCM of 556,624

Lowest Common Multiple of 556,624 using Common Division

2	556, 624
2	278, 312
	139, 156

∴ So the LCM of the given numbers is 2 x 2 x 139 x 156 = 86736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/86736

Therefore, the GCF of Fractions 1837/556,8437/624 is 11/86736

Least Common Multiple of 556,624 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 556,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(556,624) = 4

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

GCF(556,624) x common factors =4 x 1 = 4

LCM(556,624) = ( 556 × 624 ) / 4

LCM(556,624) = 346944 / 4

LCM(556,624) = 86736

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1837/556, 8437/624

1. What is the HCF of 1837,8437?

The HCF of 1837,8437 is 11

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 1837/556, 8437/624?

Answer: GCF of Numerators as per given numbers 1837/556, 8437/624 is

GCF of Numerators i.e. for 1837,8437 is 11

LCM of denominators i.e. for 556,624 is 86736.

Thus, GCF of Fractions is 11/86736.Finally, GCF of Fractions for 1837/556, 8437/624 is 11/86736.