How to Find GCF of 2660/433, 7687/993?

GCF of 2660/433, 7687/993

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 2660/433, 7687/993 i.e 1/429969 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2660/433, 7687/993.

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 2660/433,7687/993?

Given fractions are 2660/433,7687/993

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 2660/433,7687/993, numerators are 2660,7687

Denominators are 433,993

The GCF of 2660,7687 is 1 .

LCM of 433,993 is 429969.

The greatest common factor of 2660/433,7687/993 = [GCF of 2660,7687]/[LCM of 433,993]= 1/429969

Therefore, the GCF of 2660/433,7687/993 is 1/429969.

Greatest Common Factor of 2660,7687

To find the highest common factor of 2660,7687, we have to find the factors of both numbers and list the highest common factor.

The factors of 2660 are 1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 38, 70, 76, 95, 133, 140, 190, 266, 380, 532, 665, 1330, 2660

The factors of 7687 are 1, 7687

The HCF of 2660,7687 is 1.

Lets's calculate GCF of 2660,7687

Greatest Common Factor (GCF) of 2660,7687 By Common Division

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

Greatest Common Factor of 2660,7687 By Matching Biggest Common Factor Method

Now, list down the factors of 2660

1,2,4,5,7,10,14,19,20,28,35,38,70,76,95,133,140,190,266,380,532,665,1330,2660

Now, list down the factors of 7687

1,7687

Greatest Common Factor

We found the factors 2660,7687 . The biggest common factor number is the GCF number.
So the greatest common factor 2660,7687 is 1.

Lets's calculate LCM of 433,993

Lowest Common Multiple of 433,993 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 429969

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/429969

Therefore, the GCF of Fractions 2660/433,7687/993 is 1/429969

Least Common Multiple of 433,993 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 433,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(433,993) = 1

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

GCF(433,993) x common factors =1 x 1 = 1

LCM(433,993) = ( 433 × 993 ) / 1

LCM(433,993) = 429969 / 1

LCM(433,993) = 429969

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FAQs on GCF of Fractions of 2660/433, 7687/993

1. What is the HCF of 2660,7687?

The HCF of 2660,7687 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 2660/433, 7687/993?

Answer: GCF of Numerators as per given numbers 2660/433, 7687/993 is

GCF of Numerators i.e. for 2660,7687 is 1

LCM of denominators i.e. for 433,993 is 429969.

Thus, GCF of Fractions is 1/429969.Finally, GCF of Fractions for 2660/433, 7687/993 is 1/429969.