How to Find GCF of 3796/662, 5026/4352?

GCF of 3796/662, 5026/4352

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 3796/662, 5026/4352 i.e 2/1440512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3796/662, 5026/4352.

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 3796/662,5026/4352?

Given fractions are 3796/662,5026/4352

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 3796/662,5026/4352, numerators are 3796,5026

Denominators are 662,4352

The GCF of 3796,5026 is 2 .

LCM of 662,4352 is 1440512.

The greatest common factor of 3796/662,5026/4352 = [GCF of 3796,5026]/[LCM of 662,4352]= 2/1440512

Therefore, the GCF of 3796/662,5026/4352 is 2/1440512.

Greatest Common Factor of 3796,5026

To find the highest common factor of 3796,5026, we have to find the factors of both numbers and list the highest common factor.

The factors of 3796 are 1, 2, 4, 13, 26, 52, 73, 146, 292, 949, 1898, 3796

The factors of 5026 are 1, 2, 7, 14, 359, 718, 2513, 5026

The HCF of 3796,5026 is 2.

Lets's calculate GCF of 3796,5026

Greatest Common Factor (GCF) of 3796,5026 By Common Division

2	3796, 5026
	1898, 2513

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

Greatest Common Factor of 3796,5026 By Matching Biggest Common Factor Method

Now, list down the factors of 3796

1,2,4,13,26,52,73,146,292,949,1898,3796

Now, list down the factors of 5026

1,2,7,14,359,718,2513,5026

Greatest Common Factor

We found the factors 3796,5026 . The biggest common factor number is the GCF number.
So the greatest common factor 3796,5026 is 2.

Lets's calculate LCM of 662,4352

Lowest Common Multiple of 662,4352 using Common Division

2	662, 4352
	331, 2176

∴ So the LCM of the given numbers is 2 x 331 x 2176 = 1440512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1440512

Therefore, the GCF of Fractions 3796/662,5026/4352 is 2/1440512

Least Common Multiple of 662,4352 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 662,4352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(662,4352) = 2

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

GCF(662,4352) x common factors =2 x 1 = 2

LCM(662,4352) = ( 662 × 4352 ) / 2

LCM(662,4352) = 2881024 / 2

LCM(662,4352) = 1440512

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3796/662, 5026/4352

1. What is the HCF of 3796,5026?

The HCF of 3796,5026 is 2

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 3796/662, 5026/4352?

Answer: GCF of Numerators as per given numbers 3796/662, 5026/4352 is

GCF of Numerators i.e. for 3796,5026 is 2

LCM of denominators i.e. for 662,4352 is 1440512.

Thus, GCF of Fractions is 2/1440512.Finally, GCF of Fractions for 3796/662, 5026/4352 is 2/1440512.