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GCF of 228/747, 736/308

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 228/747, 736/308 i.e 4/230076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 228/747, 736/308.

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 228/747,736/308?

Given fractions are 228/747,736/308

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 228/747,736/308, numerators are 228,736

Denominators are 747,308

The GCF of 228,736 is 4 .

LCM of 747,308 is 230076.

The greatest common factor of 228/747,736/308 = [GCF of 228,736]/[LCM of 747,308]= 4/230076

Therefore, the GCF of 228/747,736/308 is 4/230076.

Greatest Common Factor of 228,736

To find the highest common factor of 228,736, 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 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

The HCF of 228,736 is 4.

Lets's calculate GCF of 228,736

Greatest Common Factor (GCF) of 228,736 By Common Division

2 228, 736
2 114, 368
57, 184

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

Greatest Common Factor of 228,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,736 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 736

:

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 228,736 . The biggest common factor number is the GCF number.
So the greatest common factor 228,736 is 4.

Lets's calculate LCM of 747,308

Lowest Common Multiple of 747,308 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 230076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/230076

Therefore, the GCF of Fractions 228/747,736/308 is 4/230076

Least Common Multiple of 747,308 with GCF Formula

Least Common Multiple of 747,308 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 747,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,308) = 1

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

GCF(747,308) x common factors =1 x 1 = 1

LCM(747,308) = ( 747 × 308 ) / 1

LCM(747,308) = 230076 / 1

LCM(747,308) = 230076


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FAQs on GCF of Fractions of 228/747, 736/308

1. What is the HCF of 228,736?

The HCF of 228,736 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 228/747, 736/308?

Answer: GCF of Numerators as per given numbers 228/747, 736/308 is

GCF of Numerators i.e. for 228,736 is 4

LCM of denominators i.e. for 747,308 is 230076.

Thus, GCF of Fractions is 4/230076.Finally, GCF of Fractions for 228/747, 736/308 is 4/230076.