How to Find GCF of 5303/226, 7825/7839?

GCF of 5303/226, 7825/7839

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 5303/226, 7825/7839 i.e 1/1771614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5303/226, 7825/7839.

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 5303/226,7825/7839?

Given fractions are 5303/226,7825/7839

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 5303/226,7825/7839, numerators are 5303,7825

Denominators are 226,7839

The GCF of 5303,7825 is 1 .

LCM of 226,7839 is 1771614.

The greatest common factor of 5303/226,7825/7839 = [GCF of 5303,7825]/[LCM of 226,7839]= 1/1771614

Therefore, the GCF of 5303/226,7825/7839 is 1/1771614.

Greatest Common Factor of 5303,7825

To find the highest common factor of 5303,7825, we have to find the factors of both numbers and list the highest common factor.

The factors of 5303 are 1, 5303

The factors of 7825 are 1, 5, 25, 313, 1565, 7825

The HCF of 5303,7825 is 1.

Lets's calculate GCF of 5303,7825

Greatest Common Factor (GCF) of 5303,7825 By Common Division

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

Greatest Common Factor of 5303,7825 By Matching Biggest Common Factor Method

Now, list down the factors of 5303

1,5303

Now, list down the factors of 7825

1,5,25,313,1565,7825

Greatest Common Factor

We found the factors 5303,7825 . The biggest common factor number is the GCF number.
So the greatest common factor 5303,7825 is 1.

Lets's calculate LCM of 226,7839

Lowest Common Multiple of 226,7839 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1771614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1771614

Therefore, the GCF of Fractions 5303/226,7825/7839 is 1/1771614

Least Common Multiple of 226,7839 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 226,7839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(226,7839) = 1

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

GCF(226,7839) x common factors =1 x 1 = 1

LCM(226,7839) = ( 226 × 7839 ) / 1

LCM(226,7839) = 1771614 / 1

LCM(226,7839) = 1771614

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FAQs on GCF of Fractions of 5303/226, 7825/7839

1. What is the HCF of 5303,7825?

The HCF of 5303,7825 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 5303/226, 7825/7839?

Answer: GCF of Numerators as per given numbers 5303/226, 7825/7839 is

GCF of Numerators i.e. for 5303,7825 is 1

LCM of denominators i.e. for 226,7839 is 1771614.

Thus, GCF of Fractions is 1/1771614.Finally, GCF of Fractions for 5303/226, 7825/7839 is 1/1771614.