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GCF of 556/21, 100/235

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 556/21, 100/235 i.e 4/4935 easily. The following is the detailed procedure to determine the greatest common factor of fractions 556/21, 100/235.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 556/21,100/235?

Given fractions are 556/21,100/235

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 556/21,100/235, numerators are 556,100

Denominators are 21,235

The GCF of 556,100 is 4 .

LCM of 21,235 is 4935.

The greatest common factor of 556/21,100/235 = [GCF of 556,100]/[LCM of 21,235]= 4/4935

Therefore, the GCF of 556/21,100/235 is 4/4935.

Greatest Common Factor of 556,100

To find the highest common factor of 556,100, we have to find the factors of both numbers and list the highest common factor.

The factors of 556 are 1, 2, 4, 139, 278, 556

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100

The HCF of 556,100 is 4.

Lets's calculate GCF of 556,100

Greatest Common Factor (GCF) of 556,100 By Common Division

2 556, 100
2 278, 50
139, 25

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

Greatest Common Factor of 556,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 556,100 By Matching Biggest Common Factor Method

Now, list down the factors of 556

:

1,2,4,139,278,556

Now, list down the factors of 100

:

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 556,100 . The biggest common factor number is the GCF number.
So the greatest common factor 556,100 is 4.

Lets's calculate LCM of 21,235

Lowest Common Multiple of 21,235 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4935

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4935

Therefore, the GCF of Fractions 556/21,100/235 is 4/4935

Least Common Multiple of 21,235 with GCF Formula

Least Common Multiple of 21,235 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 21,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,235) = 1

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

GCF(21,235) x common factors =1 x 1 = 1

LCM(21,235) = ( 21 × 235 ) / 1

LCM(21,235) = 4935 / 1

LCM(21,235) = 4935


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FAQs on GCF of Fractions of 556/21, 100/235

1. What is the HCF of 556,100?

The HCF of 556,100 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 556/21, 100/235?

Answer: GCF of Numerators as per given numbers 556/21, 100/235 is

GCF of Numerators i.e. for 556,100 is 4

LCM of denominators i.e. for 21,235 is 4935.

Thus, GCF of Fractions is 4/4935.Finally, GCF of Fractions for 556/21, 100/235 is 4/4935.