How to Find GCF of 7545/854, 2609/3555?

GCF of 7545/854, 2609/3555

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 7545/854, 2609/3555 i.e 1/3035970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7545/854, 2609/3555.

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 7545/854,2609/3555?

Given fractions are 7545/854,2609/3555

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 7545/854,2609/3555, numerators are 7545,2609

Denominators are 854,3555

The GCF of 7545,2609 is 1 .

LCM of 854,3555 is 3035970.

The greatest common factor of 7545/854,2609/3555 = [GCF of 7545,2609]/[LCM of 854,3555]= 1/3035970

Therefore, the GCF of 7545/854,2609/3555 is 1/3035970.

Greatest Common Factor of 7545,2609

To find the highest common factor of 7545,2609, we have to find the factors of both numbers and list the highest common factor.

The factors of 7545 are 1, 3, 5, 15, 503, 1509, 2515, 7545

The factors of 2609 are 1, 2609

The HCF of 7545,2609 is 1.

Lets's calculate GCF of 7545,2609

Greatest Common Factor (GCF) of 7545,2609 By Common Division

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

Greatest Common Factor of 7545,2609 By Matching Biggest Common Factor Method

Now, list down the factors of 7545

1,3,5,15,503,1509,2515,7545

Now, list down the factors of 2609

1,2609

Greatest Common Factor

We found the factors 7545,2609 . The biggest common factor number is the GCF number.
So the greatest common factor 7545,2609 is 1.

Lets's calculate LCM of 854,3555

Lowest Common Multiple of 854,3555 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3035970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3035970

Therefore, the GCF of Fractions 7545/854,2609/3555 is 1/3035970

Least Common Multiple of 854,3555 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 854,3555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,3555) = 1

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

GCF(854,3555) x common factors =1 x 1 = 1

LCM(854,3555) = ( 854 × 3555 ) / 1

LCM(854,3555) = 3035970 / 1

LCM(854,3555) = 3035970

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FAQs on GCF of Fractions of 7545/854, 2609/3555

1. What is the HCF of 7545,2609?

The HCF of 7545,2609 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 7545/854, 2609/3555?

Answer: GCF of Numerators as per given numbers 7545/854, 2609/3555 is

GCF of Numerators i.e. for 7545,2609 is 1

LCM of denominators i.e. for 854,3555 is 3035970.

Thus, GCF of Fractions is 1/3035970.Finally, GCF of Fractions for 7545/854, 2609/3555 is 1/3035970.