How to Find GCF of 757/43, 870/780?

GCF of 757/43, 870/780

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 757/43, 870/780 i.e 1/33540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 757/43, 870/780.

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 757/43,870/780?

Given fractions are 757/43,870/780

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 757/43,870/780, numerators are 757,870

Denominators are 43,780

The GCF of 757,870 is 1 .

LCM of 43,780 is 33540.

The greatest common factor of 757/43,870/780 = [GCF of 757,870]/[LCM of 43,780]= 1/33540

Therefore, the GCF of 757/43,870/780 is 1/33540.

Greatest Common Factor of 757,870

To find the highest common factor of 757,870, we have to find the factors of both numbers and list the highest common factor.

The factors of 757 are 1, 757

The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

The HCF of 757,870 is 1.

Lets's calculate GCF of 757,870

Greatest Common Factor (GCF) of 757,870 By Common Division

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

Greatest Common Factor of 757,870 By Matching Biggest Common Factor Method

Now, list down the factors of 757

1,757

Now, list down the factors of 870

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 757,870 . The biggest common factor number is the GCF number.
So the greatest common factor 757,870 is 1.

Lets's calculate LCM of 43,780

Lowest Common Multiple of 43,780 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 33540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33540

Therefore, the GCF of Fractions 757/43,870/780 is 1/33540

Least Common Multiple of 43,780 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 43,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,780) = 1

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

GCF(43,780) x common factors =1 x 1 = 1

LCM(43,780) = ( 43 × 780 ) / 1

LCM(43,780) = 33540 / 1

LCM(43,780) = 33540

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FAQs on GCF of Fractions of 757/43, 870/780

1. What is the HCF of 757,870?

The HCF of 757,870 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 757/43, 870/780?

Answer: GCF of Numerators as per given numbers 757/43, 870/780 is

GCF of Numerators i.e. for 757,870 is 1

LCM of denominators i.e. for 43,780 is 33540.

Thus, GCF of Fractions is 1/33540.Finally, GCF of Fractions for 757/43, 870/780 is 1/33540.