How to Find GCF of 1400/730, 2553/2540?

GCF of 1400/730, 2553/2540

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 1400/730, 2553/2540 i.e 1/185420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1400/730, 2553/2540.

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 1400/730,2553/2540?

Given fractions are 1400/730,2553/2540

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 1400/730,2553/2540, numerators are 1400,2553

Denominators are 730,2540

The GCF of 1400,2553 is 1 .

LCM of 730,2540 is 185420.

The greatest common factor of 1400/730,2553/2540 = [GCF of 1400,2553]/[LCM of 730,2540]= 1/185420

Therefore, the GCF of 1400/730,2553/2540 is 1/185420.

Greatest Common Factor of 1400,2553

To find the highest common factor of 1400,2553, we have to find the factors of both numbers and list the highest common factor.

The factors of 1400 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 140, 175, 200, 280, 350, 700, 1400

The factors of 2553 are 1, 3, 23, 37, 69, 111, 851, 2553

The HCF of 1400,2553 is 1.

Lets's calculate GCF of 1400,2553

Greatest Common Factor (GCF) of 1400,2553 By Common Division

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

Greatest Common Factor of 1400,2553 By Matching Biggest Common Factor Method

Now, list down the factors of 1400

1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,140,175,200,280,350,700,1400

Now, list down the factors of 2553

1,3,23,37,69,111,851,2553

Greatest Common Factor

We found the factors 1400,2553 . The biggest common factor number is the GCF number.
So the greatest common factor 1400,2553 is 1.

Lets's calculate LCM of 730,2540

Lowest Common Multiple of 730,2540 using Common Division

2	730, 2540
5	365, 1270
	73, 254

∴ So the LCM of the given numbers is 2 x 5 x 73 x 254 = 185420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185420

Therefore, the GCF of Fractions 1400/730,2553/2540 is 1/185420

Least Common Multiple of 730,2540 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 730,2540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,2540) = 10

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

GCF(730,2540) x common factors =10 x 1 = 10

LCM(730,2540) = ( 730 × 2540 ) / 10

LCM(730,2540) = 1854200 / 10

LCM(730,2540) = 185420

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1400/730, 2553/2540

1. What is the HCF of 1400,2553?

The HCF of 1400,2553 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 1400/730, 2553/2540?

Answer: GCF of Numerators as per given numbers 1400/730, 2553/2540 is

GCF of Numerators i.e. for 1400,2553 is 1

LCM of denominators i.e. for 730,2540 is 185420.

Thus, GCF of Fractions is 1/185420.Finally, GCF of Fractions for 1400/730, 2553/2540 is 1/185420.