How to Find GCF of 4376/276, 3896/8513?

GCF of 4376/276, 3896/8513

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 4376/276, 3896/8513 i.e 8/2349588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4376/276, 3896/8513.

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 4376/276,3896/8513?

Given fractions are 4376/276,3896/8513

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 4376/276,3896/8513, numerators are 4376,3896

Denominators are 276,8513

The GCF of 4376,3896 is 8 .

LCM of 276,8513 is 2349588.

The greatest common factor of 4376/276,3896/8513 = [GCF of 4376,3896]/[LCM of 276,8513]= 8/2349588

Therefore, the GCF of 4376/276,3896/8513 is 8/2349588.

Greatest Common Factor of 4376,3896

To find the highest common factor of 4376,3896, we have to find the factors of both numbers and list the highest common factor.

The factors of 4376 are 1, 2, 4, 8, 547, 1094, 2188, 4376

The factors of 3896 are 1, 2, 4, 8, 487, 974, 1948, 3896

The HCF of 4376,3896 is 8.

Lets's calculate GCF of 4376,3896

Greatest Common Factor (GCF) of 4376,3896 By Common Division

2	4376, 3896
2	2188, 1948
2	1094, 974
	547, 487

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 4376,3896 By Matching Biggest Common Factor Method

Now, list down the factors of 4376

1,2,4,8,547,1094,2188,4376

Now, list down the factors of 3896

1,2,4,8,487,974,1948,3896

Greatest Common Factor

We found the factors 4376,3896 . The biggest common factor number is the GCF number.
So the greatest common factor 4376,3896 is 8.

Lets's calculate LCM of 276,8513

Lowest Common Multiple of 276,8513 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2349588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2349588

Therefore, the GCF of Fractions 4376/276,3896/8513 is 8/2349588

Least Common Multiple of 276,8513 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 276,8513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,8513) = 1

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

GCF(276,8513) x common factors =1 x 1 = 1

LCM(276,8513) = ( 276 × 8513 ) / 1

LCM(276,8513) = 2349588 / 1

LCM(276,8513) = 2349588

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FAQs on GCF of Fractions of 4376/276, 3896/8513

1. What is the HCF of 4376,3896?

The HCF of 4376,3896 is 8

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 4376/276, 3896/8513?

Answer: GCF of Numerators as per given numbers 4376/276, 3896/8513 is

GCF of Numerators i.e. for 4376,3896 is 8

LCM of denominators i.e. for 276,8513 is 2349588.

Thus, GCF of Fractions is 8/2349588.Finally, GCF of Fractions for 4376/276, 3896/8513 is 8/2349588.