How to Find GCF of 762/404, 700/540?

GCF of 762/404, 700/540

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 762/404, 700/540 i.e 2/54540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 762/404, 700/540.

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 762/404,700/540?

Given fractions are 762/404,700/540

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 762/404,700/540, numerators are 762,700

Denominators are 404,540

The GCF of 762,700 is 2 .

LCM of 404,540 is 54540.

The greatest common factor of 762/404,700/540 = [GCF of 762,700]/[LCM of 404,540]= 2/54540

Therefore, the GCF of 762/404,700/540 is 2/54540.

Greatest Common Factor of 762,700

To find the highest common factor of 762,700, we have to find the factors of both numbers and list the highest common factor.

The factors of 762 are 1, 2, 3, 6, 127, 254, 381, 762

The factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

The HCF of 762,700 is 2.

Lets's calculate GCF of 762,700

Greatest Common Factor (GCF) of 762,700 By Common Division

2	762, 700
	381, 350

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 762,700 By Matching Biggest Common Factor Method

Now, list down the factors of 762

1,2,3,6,127,254,381,762

Now, list down the factors of 700

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 762,700 . The biggest common factor number is the GCF number.
So the greatest common factor 762,700 is 2.

Lets's calculate LCM of 404,540

Lowest Common Multiple of 404,540 using Common Division

2	404, 540
2	202, 270
	101, 135

∴ So the LCM of the given numbers is 2 x 2 x 101 x 135 = 54540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/54540

Therefore, the GCF of Fractions 762/404,700/540 is 2/54540

Least Common Multiple of 404,540 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 404,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,540) = 4

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

GCF(404,540) x common factors =4 x 1 = 4

LCM(404,540) = ( 404 × 540 ) / 4

LCM(404,540) = 218160 / 4

LCM(404,540) = 54540

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 762/404, 700/540

1. What is the HCF of 762,700?

The HCF of 762,700 is 2

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 762/404, 700/540?

Answer: GCF of Numerators as per given numbers 762/404, 700/540 is

GCF of Numerators i.e. for 762,700 is 2

LCM of denominators i.e. for 404,540 is 54540.

Thus, GCF of Fractions is 2/54540.Finally, GCF of Fractions for 762/404, 700/540 is 2/54540.