GCF of 239/976, 685/989
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 239/976, 685/989 i.e 1/965264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 239/976, 685/989.
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 239/976,685/989?
Given fractions are 239/976,685/989
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 239/976,685/989, numerators are 239,685
Denominators are 976,989
The GCF of 239,685 is 1 .
LCM of 976,989 is 965264.
The greatest common factor of 239/976,685/989 = [GCF of 239,685]/[LCM of 976,989]= 1/965264
Therefore, the GCF of 239/976,685/989 is 1/965264.
To find the highest common factor of 239,685, we have to find the factors of both numbers and list the highest common factor.
The factors of 239 are 1, 239
The factors of 685 are 1, 5, 137, 685
The HCF of 239,685 is 1.
Lets's calculate GCF of 239,685
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 239,685 By Matching Biggest Common Factor Method
Now, list down the factors of 239
:1,239
Now, list down the factors of 685
:1,5,137,685
Greatest Common Factor
We found the factors 239,685 . The biggest common factor number is the GCF number.
So the greatest common factor 239,685 is 1.
Lets's calculate LCM of 976,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 965264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/965264
Therefore, the GCF of Fractions 239/976,685/989 is 1/965264
Least Common Multiple of 976,989 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 976,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(976,989) x common factors =1 x 1 = 1
LCM(976,989) = ( 976 × 989 ) / 1
LCM(976,989) = 965264 / 1
LCM(976,989) = 965264
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FAQs on GCF of Fractions of 239/976, 685/989
1. What is the HCF of 239,685?
The HCF of 239,685 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 239/976, 685/989?
Answer: GCF of Numerators as per given numbers 239/976, 685/989 is
GCF of Numerators i.e. for 239,685 is 1
LCM of denominators i.e. for 976,989 is 965264.
Thus, GCF of Fractions is 1/965264.Finally, GCF of Fractions for 239/976, 685/989 is 1/965264.