GCF of 1277/689, 8947/5093
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1277/689, 8947/5093 i.e 1/3509077 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1277/689, 8947/5093.
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 1277/689,8947/5093?
Given fractions are 1277/689,8947/5093
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 1277/689,8947/5093, numerators are 1277,8947
Denominators are 689,5093
The GCF of 1277,8947 is 1 .
LCM of 689,5093 is 3509077.
The greatest common factor of 1277/689,8947/5093 = [GCF of 1277,8947]/[LCM of 689,5093]= 1/3509077
Therefore, the GCF of 1277/689,8947/5093 is 1/3509077.
To find the highest common factor of 1277,8947, we have to find the factors of both numbers and list the highest common factor.
The factors of 1277 are 1, 1277
The factors of 8947 are 1, 23, 389, 8947
The HCF of 1277,8947 is 1.
Lets's calculate GCF of 1277,8947
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1277,8947 By Matching Biggest Common Factor Method
Now, list down the factors of 1277
:1,1277
Now, list down the factors of 8947
:1,23,389,8947
Greatest Common Factor
We found the factors 1277,8947 . The biggest common factor number is the GCF number.
So the greatest common factor 1277,8947 is 1.
Lets's calculate LCM of 689,5093
Given numbers has no common factors except 1. So, there LCM is their product i.e 3509077
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3509077
Therefore, the GCF of Fractions 1277/689,8947/5093 is 1/3509077
Least Common Multiple of 689,5093 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 689,5093 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,5093) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(689,5093) x common factors =1 x 1 = 1
LCM(689,5093) = ( 689 × 5093 ) / 1
LCM(689,5093) = 3509077 / 1
LCM(689,5093) = 3509077
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FAQs on GCF of Fractions of 1277/689, 8947/5093
1. What is the HCF of 1277,8947?
The HCF of 1277,8947 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 1277/689, 8947/5093?
Answer: GCF of Numerators as per given numbers 1277/689, 8947/5093 is
GCF of Numerators i.e. for 1277,8947 is 1
LCM of denominators i.e. for 689,5093 is 3509077.
Thus, GCF of Fractions is 1/3509077.Finally, GCF of Fractions for 1277/689, 8947/5093 is 1/3509077.