How to Find GCF of 2578/707, 1887/9578?

GCF of 2578/707, 1887/9578

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 2578/707, 1887/9578 i.e 1/6771646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2578/707, 1887/9578.

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 2578/707,1887/9578?

Given fractions are 2578/707,1887/9578

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 2578/707,1887/9578, numerators are 2578,1887

Denominators are 707,9578

The GCF of 2578,1887 is 1 .

LCM of 707,9578 is 6771646.

The greatest common factor of 2578/707,1887/9578 = [GCF of 2578,1887]/[LCM of 707,9578]= 1/6771646

Therefore, the GCF of 2578/707,1887/9578 is 1/6771646.

Greatest Common Factor of 2578,1887

To find the highest common factor of 2578,1887, we have to find the factors of both numbers and list the highest common factor.

The factors of 2578 are 1, 2, 1289, 2578

The factors of 1887 are 1, 3, 17, 37, 51, 111, 629, 1887

The HCF of 2578,1887 is 1.

Lets's calculate GCF of 2578,1887

Greatest Common Factor (GCF) of 2578,1887 By Common Division

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

Greatest Common Factor of 2578,1887 By Matching Biggest Common Factor Method

Now, list down the factors of 2578

1,2,1289,2578

Now, list down the factors of 1887

1,3,17,37,51,111,629,1887

Greatest Common Factor

We found the factors 2578,1887 . The biggest common factor number is the GCF number.
So the greatest common factor 2578,1887 is 1.

Lets's calculate LCM of 707,9578

Lowest Common Multiple of 707,9578 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6771646

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6771646

Therefore, the GCF of Fractions 2578/707,1887/9578 is 1/6771646

Least Common Multiple of 707,9578 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 707,9578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(707,9578) = 1

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

GCF(707,9578) x common factors =1 x 1 = 1

LCM(707,9578) = ( 707 × 9578 ) / 1

LCM(707,9578) = 6771646 / 1

LCM(707,9578) = 6771646

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FAQs on GCF of Fractions of 2578/707, 1887/9578

1. What is the HCF of 2578,1887?

The HCF of 2578,1887 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 2578/707, 1887/9578?

Answer: GCF of Numerators as per given numbers 2578/707, 1887/9578 is

GCF of Numerators i.e. for 2578,1887 is 1

LCM of denominators i.e. for 707,9578 is 6771646.

Thus, GCF of Fractions is 1/6771646.Finally, GCF of Fractions for 2578/707, 1887/9578 is 1/6771646.