GCF of 959/30, 420/8759
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 959/30, 420/8759 i.e 7/262770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 959/30, 420/8759.
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 959/30,420/8759?
Given fractions are 959/30,420/8759
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 959/30,420/8759, numerators are 959,420
Denominators are 30,8759
The GCF of 959,420 is 7 .
LCM of 30,8759 is 262770.
The greatest common factor of 959/30,420/8759 = [GCF of 959,420]/[LCM of 30,8759]= 7/262770
Therefore, the GCF of 959/30,420/8759 is 7/262770.
To find the highest common factor of 959,420, we have to find the factors of both numbers and list the highest common factor.
The factors of 959 are 1, 7, 137, 959
The factors of 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
The HCF of 959,420 is 7.
Lets's calculate GCF of 959,420
| 7 | 959, 420 |
| 137, 60 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 959,420 By Matching Biggest Common Factor Method
Now, list down the factors of 959
:1,7,137,959
Now, list down the factors of 420
:1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Greatest Common Factor
We found the factors 959,420 . The biggest common factor number is the GCF number.
So the greatest common factor 959,420 is 7.
Lets's calculate LCM of 30,8759
Given numbers has no common factors except 1. So, there LCM is their product i.e 262770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/262770
Therefore, the GCF of Fractions 959/30,420/8759 is 7/262770
Least Common Multiple of 30,8759 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 30,8759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,8759) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(30,8759) x common factors =1 x 1 = 1
LCM(30,8759) = ( 30 × 8759 ) / 1
LCM(30,8759) = 262770 / 1
LCM(30,8759) = 262770
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FAQs on GCF of Fractions of 959/30, 420/8759
1. What is the HCF of 959,420?
The HCF of 959,420 is 7
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 959/30, 420/8759?
Answer: GCF of Numerators as per given numbers 959/30, 420/8759 is
GCF of Numerators i.e. for 959,420 is 7
LCM of denominators i.e. for 30,8759 is 262770.
Thus, GCF of Fractions is 7/262770.Finally, GCF of Fractions for 959/30, 420/8759 is 7/262770.