How to Find GCF of 352/81, 940/7498?

GCF of 352/81, 940/7498

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 352/81, 940/7498 i.e 4/607338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 352/81, 940/7498.

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 352/81,940/7498?

Given fractions are 352/81,940/7498

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 352/81,940/7498, numerators are 352,940

Denominators are 81,7498

The GCF of 352,940 is 4 .

LCM of 81,7498 is 607338.

The greatest common factor of 352/81,940/7498 = [GCF of 352,940]/[LCM of 81,7498]= 4/607338

Therefore, the GCF of 352/81,940/7498 is 4/607338.

Greatest Common Factor of 352,940

To find the highest common factor of 352,940, we have to find the factors of both numbers and list the highest common factor.

The factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

The HCF of 352,940 is 4.

Lets's calculate GCF of 352,940

Greatest Common Factor (GCF) of 352,940 By Common Division

2	352, 940
2	176, 470
	88, 235

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

Greatest Common Factor of 352,940 By Matching Biggest Common Factor Method

Now, list down the factors of 352

1,2,4,8,11,16,22,32,44,88,176,352

Now, list down the factors of 940

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 352,940 . The biggest common factor number is the GCF number.
So the greatest common factor 352,940 is 4.

Lets's calculate LCM of 81,7498

Lowest Common Multiple of 81,7498 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 607338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/607338

Therefore, the GCF of Fractions 352/81,940/7498 is 4/607338

Least Common Multiple of 81,7498 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 81,7498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,7498) = 1

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

GCF(81,7498) x common factors =1 x 1 = 1

LCM(81,7498) = ( 81 × 7498 ) / 1

LCM(81,7498) = 607338 / 1

LCM(81,7498) = 607338

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FAQs on GCF of Fractions of 352/81, 940/7498

1. What is the HCF of 352,940?

The HCF of 352,940 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 352/81, 940/7498?

Answer: GCF of Numerators as per given numbers 352/81, 940/7498 is

GCF of Numerators i.e. for 352,940 is 4

LCM of denominators i.e. for 81,7498 is 607338.

Thus, GCF of Fractions is 4/607338.Finally, GCF of Fractions for 352/81, 940/7498 is 4/607338.