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GCF of 118/890, 236/545

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 118/890, 236/545 i.e 118/97010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 118/890, 236/545.

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 118/890,236/545?

Given fractions are 118/890,236/545

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 118/890,236/545, numerators are 118,236

Denominators are 890,545

The GCF of 118,236 is 118 .

LCM of 890,545 is 97010.

The greatest common factor of 118/890,236/545 = [GCF of 118,236]/[LCM of 890,545]= 118/97010

Therefore, the GCF of 118/890,236/545 is 118/97010.

Greatest Common Factor of 118,236

To find the highest common factor of 118,236, we have to find the factors of both numbers and list the highest common factor.

The factors of 118 are 1, 2, 59, 118

The factors of 236 are 1, 2, 4, 59, 118, 236

The HCF of 118,236 is 118.

Lets's calculate GCF of 118,236

Greatest Common Factor (GCF) of 118,236 By Common Division

2 118, 236
59 59, 118
1, 2

∴ So the GCF of the given numbers is 2 x 59 = 118

Greatest Common Factor of 118,236 By Matching Biggest Common Factor Method

Greatest Common Factor of 118,236 By Matching Biggest Common Factor Method

Now, list down the factors of 118

:

1,2,59,118

Now, list down the factors of 236

:

1,2,4,59,118,236

Greatest Common Factor

We found the factors 118,236 . The biggest common factor number is the GCF number.
So the greatest common factor 118,236 is 118.


Lets's calculate LCM of 890,545

Lowest Common Multiple of 890,545 using Common Division

5 890, 545
178, 109

∴ So the LCM of the given numbers is 5 x 178 x 109 = 97010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 118/97010

Therefore, the GCF of Fractions 118/890,236/545 is 118/97010

Least Common Multiple of 890,545 with GCF Formula

Least Common Multiple of 890,545 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 890,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,545) = 5

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

GCF(890,545) x common factors =5 x 1 = 5

LCM(890,545) = ( 890 × 545 ) / 5

LCM(890,545) = 485050 / 5

LCM(890,545) = 97010


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 118/890, 236/545

1. What is the HCF of 118,236?

The HCF of 118,236 is 118

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 118/890, 236/545?

Answer: GCF of Numerators as per given numbers 118/890, 236/545 is

GCF of Numerators i.e. for 118,236 is 118

LCM of denominators i.e. for 890,545 is 97010.

Thus, GCF of Fractions is 118/97010.Finally, GCF of Fractions for 118/890, 236/545 is 118/97010.