GCF of 9480/332, 8637/837
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9480/332, 8637/837 i.e 3/277884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9480/332, 8637/837.
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 9480/332,8637/837?
Given fractions are 9480/332,8637/837
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 9480/332,8637/837, numerators are 9480,8637
Denominators are 332,837
The GCF of 9480,8637 is 3 .
LCM of 332,837 is 277884.
The greatest common factor of 9480/332,8637/837 = [GCF of 9480,8637]/[LCM of 332,837]= 3/277884
Therefore, the GCF of 9480/332,8637/837 is 3/277884.
To find the highest common factor of 9480,8637, we have to find the factors of both numbers and list the highest common factor.
The factors of 9480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 79, 120, 158, 237, 316, 395, 474, 632, 790, 948, 1185, 1580, 1896, 2370, 3160, 4740, 9480
The factors of 8637 are 1, 3, 2879, 8637
The HCF of 9480,8637 is 3.
Lets's calculate GCF of 9480,8637
| 3 | 9480, 8637 |
| 3160, 2879 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9480,8637 By Matching Biggest Common Factor Method
Now, list down the factors of 9480
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,79,120,158,237,316,395,474,632,790,948,1185,1580,1896,2370,3160,4740,9480
Now, list down the factors of 8637
:1,3,2879,8637
Greatest Common Factor
We found the factors 9480,8637 . The biggest common factor number is the GCF number.
So the greatest common factor 9480,8637 is 3.
Lets's calculate LCM of 332,837
Given numbers has no common factors except 1. So, there LCM is their product i.e 277884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/277884
Therefore, the GCF of Fractions 9480/332,8637/837 is 3/277884
Least Common Multiple of 332,837 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 332,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(332,837) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(332,837) x common factors =1 x 1 = 1
LCM(332,837) = ( 332 × 837 ) / 1
LCM(332,837) = 277884 / 1
LCM(332,837) = 277884
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FAQs on GCF of Fractions of 9480/332, 8637/837
1. What is the HCF of 9480,8637?
The HCF of 9480,8637 is 3
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 9480/332, 8637/837?
Answer: GCF of Numerators as per given numbers 9480/332, 8637/837 is
GCF of Numerators i.e. for 9480,8637 is 3
LCM of denominators i.e. for 332,837 is 277884.
Thus, GCF of Fractions is 3/277884.Finally, GCF of Fractions for 9480/332, 8637/837 is 3/277884.