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GCF of 228/76, 601/104

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 228/76, 601/104 i.e 1/1976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 228/76, 601/104.

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 228/76,601/104?

Given fractions are 228/76,601/104

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 228/76,601/104, numerators are 228,601

Denominators are 76,104

The GCF of 228,601 is 1 .

LCM of 76,104 is 1976.

The greatest common factor of 228/76,601/104 = [GCF of 228,601]/[LCM of 76,104]= 1/1976

Therefore, the GCF of 228/76,601/104 is 1/1976.

Greatest Common Factor of 228,601

To find the highest common factor of 228,601, we have to find the factors of both numbers and list the highest common factor.

The factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

The factors of 601 are 1, 601

The HCF of 228,601 is 1.

Lets's calculate GCF of 228,601

Greatest Common Factor (GCF) of 228,601 By Common Division

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

Greatest Common Factor of 228,601 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,601 By Matching Biggest Common Factor Method

Now, list down the factors of 228

:

1,2,3,4,6,12,19,38,57,76,114,228

Now, list down the factors of 601

:

1,601

Greatest Common Factor

We found the factors 228,601 . The biggest common factor number is the GCF number.
So the greatest common factor 228,601 is 1.

Lets's calculate LCM of 76,104

Lowest Common Multiple of 76,104 using Common Division

2 76, 104
2 38, 52
19, 26

∴ So the LCM of the given numbers is 2 x 2 x 19 x 26 = 1976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1976

Therefore, the GCF of Fractions 228/76,601/104 is 1/1976

Least Common Multiple of 76,104 with GCF Formula

Least Common Multiple of 76,104 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 76,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,104) = 4

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

GCF(76,104) x common factors =4 x 1 = 4

LCM(76,104) = ( 76 × 104 ) / 4

LCM(76,104) = 7904 / 4

LCM(76,104) = 1976


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FAQs on GCF of Fractions of 228/76, 601/104

1. What is the HCF of 228,601?

The HCF of 228,601 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 228/76, 601/104?

Answer: GCF of Numerators as per given numbers 228/76, 601/104 is

GCF of Numerators i.e. for 228,601 is 1

LCM of denominators i.e. for 76,104 is 1976.

Thus, GCF of Fractions is 1/1976.Finally, GCF of Fractions for 228/76, 601/104 is 1/1976.