How to Find GCF of 3876/388, 9255/148?

GCF of 3876/388, 9255/148

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 3876/388, 9255/148 i.e 3/14356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3876/388, 9255/148.

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 3876/388,9255/148?

Given fractions are 3876/388,9255/148

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 3876/388,9255/148, numerators are 3876,9255

Denominators are 388,148

The GCF of 3876,9255 is 3 .

LCM of 388,148 is 14356.

The greatest common factor of 3876/388,9255/148 = [GCF of 3876,9255]/[LCM of 388,148]= 3/14356

Therefore, the GCF of 3876/388,9255/148 is 3/14356.

Greatest Common Factor of 3876,9255

To find the highest common factor of 3876,9255, we have to find the factors of both numbers and list the highest common factor.

The factors of 3876 are 1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938, 3876

The factors of 9255 are 1, 3, 5, 15, 617, 1851, 3085, 9255

The HCF of 3876,9255 is 3.

Lets's calculate GCF of 3876,9255

Greatest Common Factor (GCF) of 3876,9255 By Common Division

3	3876, 9255
	1292, 3085

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3876,9255 By Matching Biggest Common Factor Method

Now, list down the factors of 3876

1,2,3,4,6,12,17,19,34,38,51,57,68,76,102,114,204,228,323,646,969,1292,1938,3876

Now, list down the factors of 9255

1,3,5,15,617,1851,3085,9255

Greatest Common Factor

We found the factors 3876,9255 . The biggest common factor number is the GCF number.
So the greatest common factor 3876,9255 is 3.

Lets's calculate LCM of 388,148

Lowest Common Multiple of 388,148 using Common Division

2	388, 148
2	194, 74
	97, 37

∴ So the LCM of the given numbers is 2 x 2 x 97 x 37 = 14356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14356

Therefore, the GCF of Fractions 3876/388,9255/148 is 3/14356

Least Common Multiple of 388,148 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 388,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,148) = 4

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

GCF(388,148) x common factors =4 x 1 = 4

LCM(388,148) = ( 388 × 148 ) / 4

LCM(388,148) = 57424 / 4

LCM(388,148) = 14356

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FAQs on GCF of Fractions of 3876/388, 9255/148

1. What is the HCF of 3876,9255?

The HCF of 3876,9255 is 3

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 3876/388, 9255/148?

Answer: GCF of Numerators as per given numbers 3876/388, 9255/148 is

GCF of Numerators i.e. for 3876,9255 is 3

LCM of denominators i.e. for 388,148 is 14356.

Thus, GCF of Fractions is 3/14356.Finally, GCF of Fractions for 3876/388, 9255/148 is 3/14356.