How to Find GCF of 4695/684, 4222/1130?

GCF of 4695/684, 4222/1130

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 4695/684, 4222/1130 i.e 1/386460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4695/684, 4222/1130.

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 4695/684,4222/1130?

Given fractions are 4695/684,4222/1130

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 4695/684,4222/1130, numerators are 4695,4222

Denominators are 684,1130

The GCF of 4695,4222 is 1 .

LCM of 684,1130 is 386460.

The greatest common factor of 4695/684,4222/1130 = [GCF of 4695,4222]/[LCM of 684,1130]= 1/386460

Therefore, the GCF of 4695/684,4222/1130 is 1/386460.

Greatest Common Factor of 4695,4222

To find the highest common factor of 4695,4222, we have to find the factors of both numbers and list the highest common factor.

The factors of 4695 are 1, 3, 5, 15, 313, 939, 1565, 4695

The factors of 4222 are 1, 2, 2111, 4222

The HCF of 4695,4222 is 1.

Lets's calculate GCF of 4695,4222

Greatest Common Factor (GCF) of 4695,4222 By Common Division

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

Greatest Common Factor of 4695,4222 By Matching Biggest Common Factor Method

Now, list down the factors of 4695

1,3,5,15,313,939,1565,4695

Now, list down the factors of 4222

1,2,2111,4222

Greatest Common Factor

We found the factors 4695,4222 . The biggest common factor number is the GCF number.
So the greatest common factor 4695,4222 is 1.

Lets's calculate LCM of 684,1130

Lowest Common Multiple of 684,1130 using Common Division

2	684, 1130
	342, 565

∴ So the LCM of the given numbers is 2 x 342 x 565 = 386460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/386460

Therefore, the GCF of Fractions 4695/684,4222/1130 is 1/386460

Least Common Multiple of 684,1130 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 684,1130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,1130) = 2

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

GCF(684,1130) x common factors =2 x 1 = 2

LCM(684,1130) = ( 684 × 1130 ) / 2

LCM(684,1130) = 772920 / 2

LCM(684,1130) = 386460

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FAQs on GCF of Fractions of 4695/684, 4222/1130

1. What is the HCF of 4695,4222?

The HCF of 4695,4222 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 4695/684, 4222/1130?

Answer: GCF of Numerators as per given numbers 4695/684, 4222/1130 is

GCF of Numerators i.e. for 4695,4222 is 1

LCM of denominators i.e. for 684,1130 is 386460.

Thus, GCF of Fractions is 1/386460.Finally, GCF of Fractions for 4695/684, 4222/1130 is 1/386460.