GCF of 8386/256, 2702/3730
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8386/256, 2702/3730 i.e 14/477440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8386/256, 2702/3730.
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 8386/256,2702/3730?
Given fractions are 8386/256,2702/3730
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 8386/256,2702/3730, numerators are 8386,2702
Denominators are 256,3730
The GCF of 8386,2702 is 14 .
LCM of 256,3730 is 477440.
The greatest common factor of 8386/256,2702/3730 = [GCF of 8386,2702]/[LCM of 256,3730]= 14/477440
Therefore, the GCF of 8386/256,2702/3730 is 14/477440.
To find the highest common factor of 8386,2702, we have to find the factors of both numbers and list the highest common factor.
The factors of 8386 are 1, 2, 7, 14, 599, 1198, 4193, 8386
The factors of 2702 are 1, 2, 7, 14, 193, 386, 1351, 2702
The HCF of 8386,2702 is 14.
Lets's calculate GCF of 8386,2702
| 2 | 8386, 2702 |
| 7 | 4193, 1351 |
| 599, 193 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 8386,2702 By Matching Biggest Common Factor Method
Now, list down the factors of 8386
:1,2,7,14,599,1198,4193,8386
Now, list down the factors of 2702
:1,2,7,14,193,386,1351,2702
Greatest Common Factor
We found the factors 8386,2702 . The biggest common factor number is the GCF number.
So the greatest common factor 8386,2702 is 14.
Lets's calculate LCM of 256,3730
| 2 | 256, 3730 |
| 128, 1865 |
∴ So the LCM of the given numbers is 2 x 128 x 1865 = 477440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/477440
Therefore, the GCF of Fractions 8386/256,2702/3730 is 14/477440
Least Common Multiple of 256,3730 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 256,3730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,3730) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(256,3730) x common factors =2 x 1 = 2
LCM(256,3730) = ( 256 × 3730 ) / 2
LCM(256,3730) = 954880 / 2
LCM(256,3730) = 477440
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FAQs on GCF of Fractions of 8386/256, 2702/3730
1. What is the HCF of 8386,2702?
The HCF of 8386,2702 is 14
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 8386/256, 2702/3730?
Answer: GCF of Numerators as per given numbers 8386/256, 2702/3730 is
GCF of Numerators i.e. for 8386,2702 is 14
LCM of denominators i.e. for 256,3730 is 477440.
Thus, GCF of Fractions is 14/477440.Finally, GCF of Fractions for 8386/256, 2702/3730 is 14/477440.