How to Find GCF of 5607/781, 3319/425?

GCF of 5607/781, 3319/425

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 5607/781, 3319/425 i.e 1/331925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5607/781, 3319/425.

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 5607/781,3319/425?

Given fractions are 5607/781,3319/425

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 5607/781,3319/425, numerators are 5607,3319

Denominators are 781,425

The GCF of 5607,3319 is 1 .

LCM of 781,425 is 331925.

The greatest common factor of 5607/781,3319/425 = [GCF of 5607,3319]/[LCM of 781,425]= 1/331925

Therefore, the GCF of 5607/781,3319/425 is 1/331925.

Greatest Common Factor of 5607,3319

To find the highest common factor of 5607,3319, we have to find the factors of both numbers and list the highest common factor.

The factors of 5607 are 1, 3, 7, 9, 21, 63, 89, 267, 623, 801, 1869, 5607

The factors of 3319 are 1, 3319

The HCF of 5607,3319 is 1.

Lets's calculate GCF of 5607,3319

Greatest Common Factor (GCF) of 5607,3319 By Common Division

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

Greatest Common Factor of 5607,3319 By Matching Biggest Common Factor Method

Now, list down the factors of 5607

1,3,7,9,21,63,89,267,623,801,1869,5607

Now, list down the factors of 3319

1,3319

Greatest Common Factor

We found the factors 5607,3319 . The biggest common factor number is the GCF number.
So the greatest common factor 5607,3319 is 1.

Lets's calculate LCM of 781,425

Lowest Common Multiple of 781,425 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 331925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/331925

Therefore, the GCF of Fractions 5607/781,3319/425 is 1/331925

Least Common Multiple of 781,425 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 781,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(781,425) = 1

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

GCF(781,425) x common factors =1 x 1 = 1

LCM(781,425) = ( 781 × 425 ) / 1

LCM(781,425) = 331925 / 1

LCM(781,425) = 331925

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FAQs on GCF of Fractions of 5607/781, 3319/425

1. What is the HCF of 5607,3319?

The HCF of 5607,3319 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 5607/781, 3319/425?

Answer: GCF of Numerators as per given numbers 5607/781, 3319/425 is

GCF of Numerators i.e. for 5607,3319 is 1

LCM of denominators i.e. for 781,425 is 331925.

Thus, GCF of Fractions is 1/331925.Finally, GCF of Fractions for 5607/781, 3319/425 is 1/331925.