How to Find GCF of 5708/495, 8944/3743?

GCF of 5708/495, 8944/3743

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 5708/495, 8944/3743 i.e 4/1852785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5708/495, 8944/3743.

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 5708/495,8944/3743?

Given fractions are 5708/495,8944/3743

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 5708/495,8944/3743, numerators are 5708,8944

Denominators are 495,3743

The GCF of 5708,8944 is 4 .

LCM of 495,3743 is 1852785.

The greatest common factor of 5708/495,8944/3743 = [GCF of 5708,8944]/[LCM of 495,3743]= 4/1852785

Therefore, the GCF of 5708/495,8944/3743 is 4/1852785.

Greatest Common Factor of 5708,8944

To find the highest common factor of 5708,8944, we have to find the factors of both numbers and list the highest common factor.

The factors of 5708 are 1, 2, 4, 1427, 2854, 5708

The factors of 8944 are 1, 2, 4, 8, 13, 16, 26, 43, 52, 86, 104, 172, 208, 344, 559, 688, 1118, 2236, 4472, 8944

The HCF of 5708,8944 is 4.

Lets's calculate GCF of 5708,8944

Greatest Common Factor (GCF) of 5708,8944 By Common Division

2	5708, 8944
2	2854, 4472
	1427, 2236

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

Greatest Common Factor of 5708,8944 By Matching Biggest Common Factor Method

Now, list down the factors of 5708

1,2,4,1427,2854,5708

Now, list down the factors of 8944

1,2,4,8,13,16,26,43,52,86,104,172,208,344,559,688,1118,2236,4472,8944

Greatest Common Factor

We found the factors 5708,8944 . The biggest common factor number is the GCF number.
So the greatest common factor 5708,8944 is 4.

Lets's calculate LCM of 495,3743

Lowest Common Multiple of 495,3743 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1852785

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1852785

Therefore, the GCF of Fractions 5708/495,8944/3743 is 4/1852785

Least Common Multiple of 495,3743 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 495,3743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,3743) = 1

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

GCF(495,3743) x common factors =1 x 1 = 1

LCM(495,3743) = ( 495 × 3743 ) / 1

LCM(495,3743) = 1852785 / 1

LCM(495,3743) = 1852785

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FAQs on GCF of Fractions of 5708/495, 8944/3743

1. What is the HCF of 5708,8944?

The HCF of 5708,8944 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 5708/495, 8944/3743?

Answer: GCF of Numerators as per given numbers 5708/495, 8944/3743 is

GCF of Numerators i.e. for 5708,8944 is 4

LCM of denominators i.e. for 495,3743 is 1852785.

Thus, GCF of Fractions is 4/1852785.Finally, GCF of Fractions for 5708/495, 8944/3743 is 4/1852785.