How to Find GCF of 1973/762, 3392/6120?

GCF of 1973/762, 3392/6120

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 1973/762, 3392/6120 i.e 1/777240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1973/762, 3392/6120.

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 1973/762,3392/6120?

Given fractions are 1973/762,3392/6120

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 1973/762,3392/6120, numerators are 1973,3392

Denominators are 762,6120

The GCF of 1973,3392 is 1 .

LCM of 762,6120 is 777240.

The greatest common factor of 1973/762,3392/6120 = [GCF of 1973,3392]/[LCM of 762,6120]= 1/777240

Therefore, the GCF of 1973/762,3392/6120 is 1/777240.

Greatest Common Factor of 1973,3392

To find the highest common factor of 1973,3392, we have to find the factors of both numbers and list the highest common factor.

The factors of 1973 are 1, 1973

The factors of 3392 are 1, 2, 4, 8, 16, 32, 53, 64, 106, 212, 424, 848, 1696, 3392

The HCF of 1973,3392 is 1.

Lets's calculate GCF of 1973,3392

Greatest Common Factor (GCF) of 1973,3392 By Common Division

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

Greatest Common Factor of 1973,3392 By Matching Biggest Common Factor Method

Now, list down the factors of 1973

1,1973

Now, list down the factors of 3392

1,2,4,8,16,32,53,64,106,212,424,848,1696,3392

Greatest Common Factor

We found the factors 1973,3392 . The biggest common factor number is the GCF number.
So the greatest common factor 1973,3392 is 1.

Lets's calculate LCM of 762,6120

Lowest Common Multiple of 762,6120 using Common Division

2	762, 6120
3	381, 3060
	127, 1020

∴ So the LCM of the given numbers is 2 x 3 x 127 x 1020 = 777240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/777240

Therefore, the GCF of Fractions 1973/762,3392/6120 is 1/777240

Least Common Multiple of 762,6120 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 762,6120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,6120) = 6

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

GCF(762,6120) x common factors =6 x 1 = 6

LCM(762,6120) = ( 762 × 6120 ) / 6

LCM(762,6120) = 4663440 / 6

LCM(762,6120) = 777240

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1973/762, 3392/6120

1. What is the HCF of 1973,3392?

The HCF of 1973,3392 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 1973/762, 3392/6120?

Answer: GCF of Numerators as per given numbers 1973/762, 3392/6120 is

GCF of Numerators i.e. for 1973,3392 is 1

LCM of denominators i.e. for 762,6120 is 777240.

Thus, GCF of Fractions is 1/777240.Finally, GCF of Fractions for 1973/762, 3392/6120 is 1/777240.