How to Find GCF of 8504/897, 1249/7283?

GCF of 8504/897, 1249/7283

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 8504/897, 1249/7283 i.e 1/6532851 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8504/897, 1249/7283.

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 8504/897,1249/7283?

Given fractions are 8504/897,1249/7283

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 8504/897,1249/7283, numerators are 8504,1249

Denominators are 897,7283

The GCF of 8504,1249 is 1 .

LCM of 897,7283 is 6532851.

The greatest common factor of 8504/897,1249/7283 = [GCF of 8504,1249]/[LCM of 897,7283]= 1/6532851

Therefore, the GCF of 8504/897,1249/7283 is 1/6532851.

Greatest Common Factor of 8504,1249

To find the highest common factor of 8504,1249, we have to find the factors of both numbers and list the highest common factor.

The factors of 8504 are 1, 2, 4, 8, 1063, 2126, 4252, 8504

The factors of 1249 are 1, 1249

The HCF of 8504,1249 is 1.

Lets's calculate GCF of 8504,1249

Greatest Common Factor (GCF) of 8504,1249 By Common Division

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

Greatest Common Factor of 8504,1249 By Matching Biggest Common Factor Method

Now, list down the factors of 8504

1,2,4,8,1063,2126,4252,8504

Now, list down the factors of 1249

1,1249

Greatest Common Factor

We found the factors 8504,1249 . The biggest common factor number is the GCF number.
So the greatest common factor 8504,1249 is 1.

Lets's calculate LCM of 897,7283

Lowest Common Multiple of 897,7283 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6532851

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6532851

Therefore, the GCF of Fractions 8504/897,1249/7283 is 1/6532851

Least Common Multiple of 897,7283 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 897,7283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,7283) = 1

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

GCF(897,7283) x common factors =1 x 1 = 1

LCM(897,7283) = ( 897 × 7283 ) / 1

LCM(897,7283) = 6532851 / 1

LCM(897,7283) = 6532851

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FAQs on GCF of Fractions of 8504/897, 1249/7283

1. What is the HCF of 8504,1249?

The HCF of 8504,1249 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 8504/897, 1249/7283?

Answer: GCF of Numerators as per given numbers 8504/897, 1249/7283 is

GCF of Numerators i.e. for 8504,1249 is 1

LCM of denominators i.e. for 897,7283 is 6532851.

Thus, GCF of Fractions is 1/6532851.Finally, GCF of Fractions for 8504/897, 1249/7283 is 1/6532851.