How to Find GCF of 573/37, 700/680?

GCF of 573/37, 700/680

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 573/37, 700/680 i.e 1/25160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 573/37, 700/680.

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 573/37,700/680?

Given fractions are 573/37,700/680

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 573/37,700/680, numerators are 573,700

Denominators are 37,680

The GCF of 573,700 is 1 .

LCM of 37,680 is 25160.

The greatest common factor of 573/37,700/680 = [GCF of 573,700]/[LCM of 37,680]= 1/25160

Therefore, the GCF of 573/37,700/680 is 1/25160.

Greatest Common Factor of 573,700

To find the highest common factor of 573,700, we have to find the factors of both numbers and list the highest common factor.

The factors of 573 are 1, 3, 191, 573

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 573,700 is 1.

Lets's calculate GCF of 573,700

Greatest Common Factor (GCF) of 573,700 By Common Division

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

Greatest Common Factor of 573,700 By Matching Biggest Common Factor Method

Now, list down the factors of 573

1,3,191,573

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 573,700 . The biggest common factor number is the GCF number.
So the greatest common factor 573,700 is 1.

Lets's calculate LCM of 37,680

Lowest Common Multiple of 37,680 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 25160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25160

Therefore, the GCF of Fractions 573/37,700/680 is 1/25160

Least Common Multiple of 37,680 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 37,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,680) = 1

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

GCF(37,680) x common factors =1 x 1 = 1

LCM(37,680) = ( 37 × 680 ) / 1

LCM(37,680) = 25160 / 1

LCM(37,680) = 25160

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FAQs on GCF of Fractions of 573/37, 700/680

1. What is the HCF of 573,700?

The HCF of 573,700 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 573/37, 700/680?

Answer: GCF of Numerators as per given numbers 573/37, 700/680 is

GCF of Numerators i.e. for 573,700 is 1

LCM of denominators i.e. for 37,680 is 25160.

Thus, GCF of Fractions is 1/25160.Finally, GCF of Fractions for 573/37, 700/680 is 1/25160.