GCF of 6386/38, 2982/196
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6386/38, 2982/196 i.e 2/3724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6386/38, 2982/196.
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 6386/38,2982/196?
Given fractions are 6386/38,2982/196
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 6386/38,2982/196, numerators are 6386,2982
Denominators are 38,196
The GCF of 6386,2982 is 2 .
LCM of 38,196 is 3724.
The greatest common factor of 6386/38,2982/196 = [GCF of 6386,2982]/[LCM of 38,196]= 2/3724
Therefore, the GCF of 6386/38,2982/196 is 2/3724.
To find the highest common factor of 6386,2982, we have to find the factors of both numbers and list the highest common factor.
The factors of 6386 are 1, 2, 31, 62, 103, 206, 3193, 6386
The factors of 2982 are 1, 2, 3, 6, 7, 14, 21, 42, 71, 142, 213, 426, 497, 994, 1491, 2982
The HCF of 6386,2982 is 2.
Lets's calculate GCF of 6386,2982
| 2 | 6386, 2982 |
| 3193, 1491 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6386,2982 By Matching Biggest Common Factor Method
Now, list down the factors of 6386
:1,2,31,62,103,206,3193,6386
Now, list down the factors of 2982
:1,2,3,6,7,14,21,42,71,142,213,426,497,994,1491,2982
Greatest Common Factor
We found the factors 6386,2982 . The biggest common factor number is the GCF number.
So the greatest common factor 6386,2982 is 2.
Lets's calculate LCM of 38,196
| 2 | 38, 196 |
| 19, 98 |
∴ So the LCM of the given numbers is 2 x 19 x 98 = 3724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3724
Therefore, the GCF of Fractions 6386/38,2982/196 is 2/3724
Least Common Multiple of 38,196 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 38,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,196) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(38,196) x common factors =2 x 1 = 2
LCM(38,196) = ( 38 × 196 ) / 2
LCM(38,196) = 7448 / 2
LCM(38,196) = 3724
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FAQs on GCF of Fractions of 6386/38, 2982/196
1. What is the HCF of 6386,2982?
The HCF of 6386,2982 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 6386/38, 2982/196?
Answer: GCF of Numerators as per given numbers 6386/38, 2982/196 is
GCF of Numerators i.e. for 6386,2982 is 2
LCM of denominators i.e. for 38,196 is 3724.
Thus, GCF of Fractions is 2/3724.Finally, GCF of Fractions for 6386/38, 2982/196 is 2/3724.