How to Find GCF of 457/742, 4860/642?

GCF of 457/742, 4860/642

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 457/742, 4860/642 i.e 1/238182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 457/742, 4860/642.

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 457/742,4860/642?

Given fractions are 457/742,4860/642

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 457/742,4860/642, numerators are 457,4860

Denominators are 742,642

The GCF of 457,4860 is 1 .

LCM of 742,642 is 238182.

The greatest common factor of 457/742,4860/642 = [GCF of 457,4860]/[LCM of 742,642]= 1/238182

Therefore, the GCF of 457/742,4860/642 is 1/238182.

Greatest Common Factor of 457,4860

To find the highest common factor of 457,4860, we have to find the factors of both numbers and list the highest common factor.

The factors of 457 are 1, 457

The factors of 4860 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 810, 972, 1215, 1620, 2430, 4860

The HCF of 457,4860 is 1.

Lets's calculate GCF of 457,4860

Greatest Common Factor (GCF) of 457,4860 By Common Division

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

Greatest Common Factor of 457,4860 By Matching Biggest Common Factor Method

Now, list down the factors of 457

1,457

Now, list down the factors of 4860

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,81,90,108,135,162,180,243,270,324,405,486,540,810,972,1215,1620,2430,4860

Greatest Common Factor

We found the factors 457,4860 . The biggest common factor number is the GCF number.
So the greatest common factor 457,4860 is 1.

Lets's calculate LCM of 742,642

Lowest Common Multiple of 742,642 using Common Division

2	742, 642
	371, 321

∴ So the LCM of the given numbers is 2 x 371 x 321 = 238182

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238182

Therefore, the GCF of Fractions 457/742,4860/642 is 1/238182

Least Common Multiple of 742,642 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 742,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,642) = 2

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

GCF(742,642) x common factors =2 x 1 = 2

LCM(742,642) = ( 742 × 642 ) / 2

LCM(742,642) = 476364 / 2

LCM(742,642) = 238182

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FAQs on GCF of Fractions of 457/742, 4860/642

1. What is the HCF of 457,4860?

The HCF of 457,4860 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 457/742, 4860/642?

Answer: GCF of Numerators as per given numbers 457/742, 4860/642 is

GCF of Numerators i.e. for 457,4860 is 1

LCM of denominators i.e. for 742,642 is 238182.

Thus, GCF of Fractions is 1/238182.Finally, GCF of Fractions for 457/742, 4860/642 is 1/238182.