GCF of 9848/656, 3614/364
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9848/656, 3614/364 i.e 2/59696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9848/656, 3614/364.
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 9848/656,3614/364?
Given fractions are 9848/656,3614/364
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 9848/656,3614/364, numerators are 9848,3614
Denominators are 656,364
The GCF of 9848,3614 is 2 .
LCM of 656,364 is 59696.
The greatest common factor of 9848/656,3614/364 = [GCF of 9848,3614]/[LCM of 656,364]= 2/59696
Therefore, the GCF of 9848/656,3614/364 is 2/59696.
To find the highest common factor of 9848,3614, we have to find the factors of both numbers and list the highest common factor.
The factors of 9848 are 1, 2, 4, 8, 1231, 2462, 4924, 9848
The factors of 3614 are 1, 2, 13, 26, 139, 278, 1807, 3614
The HCF of 9848,3614 is 2.
Lets's calculate GCF of 9848,3614
| 2 | 9848, 3614 |
| 4924, 1807 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9848,3614 By Matching Biggest Common Factor Method
Now, list down the factors of 9848
:1,2,4,8,1231,2462,4924,9848
Now, list down the factors of 3614
:1,2,13,26,139,278,1807,3614
Greatest Common Factor
We found the factors 9848,3614 . The biggest common factor number is the GCF number.
So the greatest common factor 9848,3614 is 2.
Lets's calculate LCM of 656,364
| 2 | 656, 364 |
| 2 | 328, 182 |
| 164, 91 |
∴ So the LCM of the given numbers is 2 x 2 x 164 x 91 = 59696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/59696
Therefore, the GCF of Fractions 9848/656,3614/364 is 2/59696
Least Common Multiple of 656,364 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 656,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,364) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(656,364) x common factors =4 x 1 = 4
LCM(656,364) = ( 656 × 364 ) / 4
LCM(656,364) = 238784 / 4
LCM(656,364) = 59696
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FAQs on GCF of Fractions of 9848/656, 3614/364
1. What is the HCF of 9848,3614?
The HCF of 9848,3614 is 2
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 9848/656, 3614/364?
Answer: GCF of Numerators as per given numbers 9848/656, 3614/364 is
GCF of Numerators i.e. for 9848,3614 is 2
LCM of denominators i.e. for 656,364 is 59696.
Thus, GCF of Fractions is 2/59696.Finally, GCF of Fractions for 9848/656, 3614/364 is 2/59696.