How to Find GCF of 1774/811, 6509/5265?

GCF of 1774/811, 6509/5265

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 1774/811, 6509/5265 i.e 1/4269915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1774/811, 6509/5265.

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 1774/811,6509/5265?

Given fractions are 1774/811,6509/5265

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 1774/811,6509/5265, numerators are 1774,6509

Denominators are 811,5265

The GCF of 1774,6509 is 1 .

LCM of 811,5265 is 4269915.

The greatest common factor of 1774/811,6509/5265 = [GCF of 1774,6509]/[LCM of 811,5265]= 1/4269915

Therefore, the GCF of 1774/811,6509/5265 is 1/4269915.

Greatest Common Factor of 1774,6509

To find the highest common factor of 1774,6509, we have to find the factors of both numbers and list the highest common factor.

The factors of 1774 are 1, 2, 887, 1774

The factors of 6509 are 1, 23, 283, 6509

The HCF of 1774,6509 is 1.

Lets's calculate GCF of 1774,6509

Greatest Common Factor (GCF) of 1774,6509 By Common Division

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

Greatest Common Factor of 1774,6509 By Matching Biggest Common Factor Method

Now, list down the factors of 1774

1,2,887,1774

Now, list down the factors of 6509

1,23,283,6509

Greatest Common Factor

We found the factors 1774,6509 . The biggest common factor number is the GCF number.
So the greatest common factor 1774,6509 is 1.

Lets's calculate LCM of 811,5265

Lowest Common Multiple of 811,5265 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4269915

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4269915

Therefore, the GCF of Fractions 1774/811,6509/5265 is 1/4269915

Least Common Multiple of 811,5265 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 811,5265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(811,5265) = 1

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

GCF(811,5265) x common factors =1 x 1 = 1

LCM(811,5265) = ( 811 × 5265 ) / 1

LCM(811,5265) = 4269915 / 1

LCM(811,5265) = 4269915

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FAQs on GCF of Fractions of 1774/811, 6509/5265

1. What is the HCF of 1774,6509?

The HCF of 1774,6509 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 1774/811, 6509/5265?

Answer: GCF of Numerators as per given numbers 1774/811, 6509/5265 is

GCF of Numerators i.e. for 1774,6509 is 1

LCM of denominators i.e. for 811,5265 is 4269915.

Thus, GCF of Fractions is 1/4269915.Finally, GCF of Fractions for 1774/811, 6509/5265 is 1/4269915.