How to Find GCF of 4870/766, 6789/5611?

GCF of 4870/766, 6789/5611

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 4870/766, 6789/5611 i.e 1/4298026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4870/766, 6789/5611.

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 4870/766,6789/5611?

Given fractions are 4870/766,6789/5611

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 4870/766,6789/5611, numerators are 4870,6789

Denominators are 766,5611

The GCF of 4870,6789 is 1 .

LCM of 766,5611 is 4298026.

The greatest common factor of 4870/766,6789/5611 = [GCF of 4870,6789]/[LCM of 766,5611]= 1/4298026

Therefore, the GCF of 4870/766,6789/5611 is 1/4298026.

Greatest Common Factor of 4870,6789

To find the highest common factor of 4870,6789, we have to find the factors of both numbers and list the highest common factor.

The factors of 4870 are 1, 2, 5, 10, 487, 974, 2435, 4870

The factors of 6789 are 1, 3, 31, 73, 93, 219, 2263, 6789

The HCF of 4870,6789 is 1.

Lets's calculate GCF of 4870,6789

Greatest Common Factor (GCF) of 4870,6789 By Common Division

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

Greatest Common Factor of 4870,6789 By Matching Biggest Common Factor Method

Now, list down the factors of 4870

1,2,5,10,487,974,2435,4870

Now, list down the factors of 6789

1,3,31,73,93,219,2263,6789

Greatest Common Factor

We found the factors 4870,6789 . The biggest common factor number is the GCF number.
So the greatest common factor 4870,6789 is 1.

Lets's calculate LCM of 766,5611

Lowest Common Multiple of 766,5611 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4298026

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4298026

Therefore, the GCF of Fractions 4870/766,6789/5611 is 1/4298026

Least Common Multiple of 766,5611 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 766,5611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,5611) = 1

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

GCF(766,5611) x common factors =1 x 1 = 1

LCM(766,5611) = ( 766 × 5611 ) / 1

LCM(766,5611) = 4298026 / 1

LCM(766,5611) = 4298026

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FAQs on GCF of Fractions of 4870/766, 6789/5611

1. What is the HCF of 4870,6789?

The HCF of 4870,6789 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 4870/766, 6789/5611?

Answer: GCF of Numerators as per given numbers 4870/766, 6789/5611 is

GCF of Numerators i.e. for 4870,6789 is 1

LCM of denominators i.e. for 766,5611 is 4298026.

Thus, GCF of Fractions is 1/4298026.Finally, GCF of Fractions for 4870/766, 6789/5611 is 1/4298026.