How to Find GCF of 3532/392, 8290/7634?

GCF of 3532/392, 8290/7634

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 3532/392, 8290/7634 i.e 2/1496264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3532/392, 8290/7634.

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 3532/392,8290/7634?

Given fractions are 3532/392,8290/7634

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 3532/392,8290/7634, numerators are 3532,8290

Denominators are 392,7634

The GCF of 3532,8290 is 2 .

LCM of 392,7634 is 1496264.

The greatest common factor of 3532/392,8290/7634 = [GCF of 3532,8290]/[LCM of 392,7634]= 2/1496264

Therefore, the GCF of 3532/392,8290/7634 is 2/1496264.

Greatest Common Factor of 3532,8290

To find the highest common factor of 3532,8290, we have to find the factors of both numbers and list the highest common factor.

The factors of 3532 are 1, 2, 4, 883, 1766, 3532

The factors of 8290 are 1, 2, 5, 10, 829, 1658, 4145, 8290

The HCF of 3532,8290 is 2.

Lets's calculate GCF of 3532,8290

Greatest Common Factor (GCF) of 3532,8290 By Common Division

2	3532, 8290
	1766, 4145

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

Greatest Common Factor of 3532,8290 By Matching Biggest Common Factor Method

Now, list down the factors of 3532

1,2,4,883,1766,3532

Now, list down the factors of 8290

1,2,5,10,829,1658,4145,8290

Greatest Common Factor

We found the factors 3532,8290 . The biggest common factor number is the GCF number.
So the greatest common factor 3532,8290 is 2.

Lets's calculate LCM of 392,7634

Lowest Common Multiple of 392,7634 using Common Division

2	392, 7634
	196, 3817

∴ So the LCM of the given numbers is 2 x 196 x 3817 = 1496264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1496264

Therefore, the GCF of Fractions 3532/392,8290/7634 is 2/1496264

Least Common Multiple of 392,7634 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 392,7634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,7634) = 2

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

GCF(392,7634) x common factors =2 x 1 = 2

LCM(392,7634) = ( 392 × 7634 ) / 2

LCM(392,7634) = 2992528 / 2

LCM(392,7634) = 1496264

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FAQs on GCF of Fractions of 3532/392, 8290/7634

1. What is the HCF of 3532,8290?

The HCF of 3532,8290 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 3532/392, 8290/7634?

Answer: GCF of Numerators as per given numbers 3532/392, 8290/7634 is

GCF of Numerators i.e. for 3532,8290 is 2

LCM of denominators i.e. for 392,7634 is 1496264.

Thus, GCF of Fractions is 2/1496264.Finally, GCF of Fractions for 3532/392, 8290/7634 is 2/1496264.