GCF of 9646/636, 3979/230
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9646/636, 3979/230 i.e 1/73140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9646/636, 3979/230.
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 9646/636,3979/230?
Given fractions are 9646/636,3979/230
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 9646/636,3979/230, numerators are 9646,3979
Denominators are 636,230
The GCF of 9646,3979 is 1 .
LCM of 636,230 is 73140.
The greatest common factor of 9646/636,3979/230 = [GCF of 9646,3979]/[LCM of 636,230]= 1/73140
Therefore, the GCF of 9646/636,3979/230 is 1/73140.
To find the highest common factor of 9646,3979, we have to find the factors of both numbers and list the highest common factor.
The factors of 9646 are 1, 2, 7, 13, 14, 26, 53, 91, 106, 182, 371, 689, 742, 1378, 4823, 9646
The factors of 3979 are 1, 23, 173, 3979
The HCF of 9646,3979 is 1.
Lets's calculate GCF of 9646,3979
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9646,3979 By Matching Biggest Common Factor Method
Now, list down the factors of 9646
:1,2,7,13,14,26,53,91,106,182,371,689,742,1378,4823,9646
Now, list down the factors of 3979
:1,23,173,3979
Greatest Common Factor
We found the factors 9646,3979 . The biggest common factor number is the GCF number.
So the greatest common factor 9646,3979 is 1.
Lets's calculate LCM of 636,230
| 2 | 636, 230 |
| 318, 115 |
∴ So the LCM of the given numbers is 2 x 318 x 115 = 73140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73140
Therefore, the GCF of Fractions 9646/636,3979/230 is 1/73140
Least Common Multiple of 636,230 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 636,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,230) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(636,230) x common factors =2 x 1 = 2
LCM(636,230) = ( 636 × 230 ) / 2
LCM(636,230) = 146280 / 2
LCM(636,230) = 73140
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FAQs on GCF of Fractions of 9646/636, 3979/230
1. What is the HCF of 9646,3979?
The HCF of 9646,3979 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 9646/636, 3979/230?
Answer: GCF of Numerators as per given numbers 9646/636, 3979/230 is
GCF of Numerators i.e. for 9646,3979 is 1
LCM of denominators i.e. for 636,230 is 73140.
Thus, GCF of Fractions is 1/73140.Finally, GCF of Fractions for 9646/636, 3979/230 is 1/73140.