GCF of 2547/686, 8894/9725
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2547/686, 8894/9725 i.e 1/6671350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2547/686, 8894/9725.
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 2547/686,8894/9725?
Given fractions are 2547/686,8894/9725
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 2547/686,8894/9725, numerators are 2547,8894
Denominators are 686,9725
The GCF of 2547,8894 is 1 .
LCM of 686,9725 is 6671350.
The greatest common factor of 2547/686,8894/9725 = [GCF of 2547,8894]/[LCM of 686,9725]= 1/6671350
Therefore, the GCF of 2547/686,8894/9725 is 1/6671350.
To find the highest common factor of 2547,8894, we have to find the factors of both numbers and list the highest common factor.
The factors of 2547 are 1, 3, 9, 283, 849, 2547
The factors of 8894 are 1, 2, 4447, 8894
The HCF of 2547,8894 is 1.
Lets's calculate GCF of 2547,8894
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2547,8894 By Matching Biggest Common Factor Method
Now, list down the factors of 2547
:1,3,9,283,849,2547
Now, list down the factors of 8894
:1,2,4447,8894
Greatest Common Factor
We found the factors 2547,8894 . The biggest common factor number is the GCF number.
So the greatest common factor 2547,8894 is 1.
Lets's calculate LCM of 686,9725
Given numbers has no common factors except 1. So, there LCM is their product i.e 6671350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6671350
Therefore, the GCF of Fractions 2547/686,8894/9725 is 1/6671350
Least Common Multiple of 686,9725 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 686,9725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,9725) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(686,9725) x common factors =1 x 1 = 1
LCM(686,9725) = ( 686 × 9725 ) / 1
LCM(686,9725) = 6671350 / 1
LCM(686,9725) = 6671350
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FAQs on GCF of Fractions of 2547/686, 8894/9725
1. What is the HCF of 2547,8894?
The HCF of 2547,8894 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 2547/686, 8894/9725?
Answer: GCF of Numerators as per given numbers 2547/686, 8894/9725 is
GCF of Numerators i.e. for 2547,8894 is 1
LCM of denominators i.e. for 686,9725 is 6671350.
Thus, GCF of Fractions is 1/6671350.Finally, GCF of Fractions for 2547/686, 8894/9725 is 1/6671350.