GCF of 3710/646, 9964/1646
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3710/646, 9964/1646 i.e 106/531658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3710/646, 9964/1646.
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 3710/646,9964/1646?
Given fractions are 3710/646,9964/1646
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 3710/646,9964/1646, numerators are 3710,9964
Denominators are 646,1646
The GCF of 3710,9964 is 106 .
LCM of 646,1646 is 531658.
The greatest common factor of 3710/646,9964/1646 = [GCF of 3710,9964]/[LCM of 646,1646]= 106/531658
Therefore, the GCF of 3710/646,9964/1646 is 106/531658.
To find the highest common factor of 3710,9964, we have to find the factors of both numbers and list the highest common factor.
The factors of 3710 are 1, 2, 5, 7, 10, 14, 35, 53, 70, 106, 265, 371, 530, 742, 1855, 3710
The factors of 9964 are 1, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982, 9964
The HCF of 3710,9964 is 106.
Lets's calculate GCF of 3710,9964
| 2 | 3710, 9964 |
| 53 | 1855, 4982 |
| 35, 94 |
∴ So the GCF of the given numbers is 2 x 53 = 106
Greatest Common Factor of 3710,9964 By Matching Biggest Common Factor Method
Now, list down the factors of 3710
:1,2,5,7,10,14,35,53,70,106,265,371,530,742,1855,3710
Now, list down the factors of 9964
:1,2,4,47,53,94,106,188,212,2491,4982,9964
Greatest Common Factor
We found the factors 3710,9964 . The biggest common factor number is the GCF number.
So the greatest common factor 3710,9964 is 106.
Lets's calculate LCM of 646,1646
| 2 | 646, 1646 |
| 323, 823 |
∴ So the LCM of the given numbers is 2 x 323 x 823 = 531658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 106/531658
Therefore, the GCF of Fractions 3710/646,9964/1646 is 106/531658
Least Common Multiple of 646,1646 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 646,1646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,1646) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(646,1646) x common factors =2 x 1 = 2
LCM(646,1646) = ( 646 × 1646 ) / 2
LCM(646,1646) = 1063316 / 2
LCM(646,1646) = 531658
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FAQs on GCF of Fractions of 3710/646, 9964/1646
1. What is the HCF of 3710,9964?
The HCF of 3710,9964 is 106
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 3710/646, 9964/1646?
Answer: GCF of Numerators as per given numbers 3710/646, 9964/1646 is
GCF of Numerators i.e. for 3710,9964 is 106
LCM of denominators i.e. for 646,1646 is 531658.
Thus, GCF of Fractions is 106/531658.Finally, GCF of Fractions for 3710/646, 9964/1646 is 106/531658.