GCF of 9635/588, 4716/3078
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9635/588, 4716/3078 i.e 1/301644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9635/588, 4716/3078.
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 9635/588,4716/3078?
Given fractions are 9635/588,4716/3078
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 9635/588,4716/3078, numerators are 9635,4716
Denominators are 588,3078
The GCF of 9635,4716 is 1 .
LCM of 588,3078 is 301644.
The greatest common factor of 9635/588,4716/3078 = [GCF of 9635,4716]/[LCM of 588,3078]= 1/301644
Therefore, the GCF of 9635/588,4716/3078 is 1/301644.
To find the highest common factor of 9635,4716, we have to find the factors of both numbers and list the highest common factor.
The factors of 9635 are 1, 5, 41, 47, 205, 235, 1927, 9635
The factors of 4716 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 131, 262, 393, 524, 786, 1179, 1572, 2358, 4716
The HCF of 9635,4716 is 1.
Lets's calculate GCF of 9635,4716
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9635,4716 By Matching Biggest Common Factor Method
Now, list down the factors of 9635
:1,5,41,47,205,235,1927,9635
Now, list down the factors of 4716
:1,2,3,4,6,9,12,18,36,131,262,393,524,786,1179,1572,2358,4716
Greatest Common Factor
We found the factors 9635,4716 . The biggest common factor number is the GCF number.
So the greatest common factor 9635,4716 is 1.
Lets's calculate LCM of 588,3078
| 2 | 588, 3078 |
| 3 | 294, 1539 |
| 98, 513 |
∴ So the LCM of the given numbers is 2 x 3 x 98 x 513 = 301644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/301644
Therefore, the GCF of Fractions 9635/588,4716/3078 is 1/301644
Least Common Multiple of 588,3078 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 588,3078 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,3078) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(588,3078) x common factors =6 x 1 = 6
LCM(588,3078) = ( 588 × 3078 ) / 6
LCM(588,3078) = 1809864 / 6
LCM(588,3078) = 301644
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FAQs on GCF of Fractions of 9635/588, 4716/3078
1. What is the HCF of 9635,4716?
The HCF of 9635,4716 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 9635/588, 4716/3078?
Answer: GCF of Numerators as per given numbers 9635/588, 4716/3078 is
GCF of Numerators i.e. for 9635,4716 is 1
LCM of denominators i.e. for 588,3078 is 301644.
Thus, GCF of Fractions is 1/301644.Finally, GCF of Fractions for 9635/588, 4716/3078 is 1/301644.