How to Find GCF of 355/116, 5662/4350?

GCF of 355/116, 5662/4350

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 355/116, 5662/4350 i.e 1/8700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 355/116, 5662/4350.

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 355/116,5662/4350?

Given fractions are 355/116,5662/4350

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 355/116,5662/4350, numerators are 355,5662

Denominators are 116,4350

The GCF of 355,5662 is 1 .

LCM of 116,4350 is 8700.

The greatest common factor of 355/116,5662/4350 = [GCF of 355,5662]/[LCM of 116,4350]= 1/8700

Therefore, the GCF of 355/116,5662/4350 is 1/8700.

Greatest Common Factor of 355,5662

To find the highest common factor of 355,5662, we have to find the factors of both numbers and list the highest common factor.

The factors of 355 are 1, 5, 71, 355

The factors of 5662 are 1, 2, 19, 38, 149, 298, 2831, 5662

The HCF of 355,5662 is 1.

Lets's calculate GCF of 355,5662

Greatest Common Factor (GCF) of 355,5662 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 355,5662 By Matching Biggest Common Factor Method

Now, list down the factors of 355

1,5,71,355

Now, list down the factors of 5662

1,2,19,38,149,298,2831,5662

Greatest Common Factor

We found the factors 355,5662 . The biggest common factor number is the GCF number.
So the greatest common factor 355,5662 is 1.

Lets's calculate LCM of 116,4350

Lowest Common Multiple of 116,4350 using Common Division

2	116, 4350
29	58, 2175
	2, 75

∴ So the LCM of the given numbers is 2 x 29 x 2 x 75 = 8700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8700

Therefore, the GCF of Fractions 355/116,5662/4350 is 1/8700

Least Common Multiple of 116,4350 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 116,4350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,4350) = 58

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

GCF(116,4350) x common factors =58 x 1 = 58

LCM(116,4350) = ( 116 × 4350 ) / 58

LCM(116,4350) = 504600 / 58

LCM(116,4350) = 8700

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FAQs on GCF of Fractions of 355/116, 5662/4350

1. What is the HCF of 355,5662?

The HCF of 355,5662 is 1

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 355/116, 5662/4350?

Answer: GCF of Numerators as per given numbers 355/116, 5662/4350 is

GCF of Numerators i.e. for 355,5662 is 1

LCM of denominators i.e. for 116,4350 is 8700.

Thus, GCF of Fractions is 1/8700.Finally, GCF of Fractions for 355/116, 5662/4350 is 1/8700.