How to Find GCF of 4722/694, 4019/854?

GCF of 4722/694, 4019/854

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 4722/694, 4019/854 i.e 1/296338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4722/694, 4019/854.

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 4722/694,4019/854?

Given fractions are 4722/694,4019/854

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 4722/694,4019/854, numerators are 4722,4019

Denominators are 694,854

The GCF of 4722,4019 is 1 .

LCM of 694,854 is 296338.

The greatest common factor of 4722/694,4019/854 = [GCF of 4722,4019]/[LCM of 694,854]= 1/296338

Therefore, the GCF of 4722/694,4019/854 is 1/296338.

Greatest Common Factor of 4722,4019

To find the highest common factor of 4722,4019, we have to find the factors of both numbers and list the highest common factor.

The factors of 4722 are 1, 2, 3, 6, 787, 1574, 2361, 4722

The factors of 4019 are 1, 4019

The HCF of 4722,4019 is 1.

Lets's calculate GCF of 4722,4019

Greatest Common Factor (GCF) of 4722,4019 By Common Division

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

Greatest Common Factor of 4722,4019 By Matching Biggest Common Factor Method

Now, list down the factors of 4722

1,2,3,6,787,1574,2361,4722

Now, list down the factors of 4019

1,4019

Greatest Common Factor

We found the factors 4722,4019 . The biggest common factor number is the GCF number.
So the greatest common factor 4722,4019 is 1.

Lets's calculate LCM of 694,854

Lowest Common Multiple of 694,854 using Common Division

2	694, 854
	347, 427

∴ So the LCM of the given numbers is 2 x 347 x 427 = 296338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/296338

Therefore, the GCF of Fractions 4722/694,4019/854 is 1/296338

Least Common Multiple of 694,854 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 694,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(694,854) = 2

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

GCF(694,854) x common factors =2 x 1 = 2

LCM(694,854) = ( 694 × 854 ) / 2

LCM(694,854) = 592676 / 2

LCM(694,854) = 296338

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FAQs on GCF of Fractions of 4722/694, 4019/854

1. What is the HCF of 4722,4019?

The HCF of 4722,4019 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 4722/694, 4019/854?

Answer: GCF of Numerators as per given numbers 4722/694, 4019/854 is

GCF of Numerators i.e. for 4722,4019 is 1

LCM of denominators i.e. for 694,854 is 296338.

Thus, GCF of Fractions is 1/296338.Finally, GCF of Fractions for 4722/694, 4019/854 is 1/296338.