GCF of 2680/208, 3258/1278
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2680/208, 3258/1278 i.e 2/132912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2680/208, 3258/1278.
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 2680/208,3258/1278?
Given fractions are 2680/208,3258/1278
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 2680/208,3258/1278, numerators are 2680,3258
Denominators are 208,1278
The GCF of 2680,3258 is 2 .
LCM of 208,1278 is 132912.
The greatest common factor of 2680/208,3258/1278 = [GCF of 2680,3258]/[LCM of 208,1278]= 2/132912
Therefore, the GCF of 2680/208,3258/1278 is 2/132912.
To find the highest common factor of 2680,3258, we have to find the factors of both numbers and list the highest common factor.
The factors of 2680 are 1, 2, 4, 5, 8, 10, 20, 40, 67, 134, 268, 335, 536, 670, 1340, 2680
The factors of 3258 are 1, 2, 3, 6, 9, 18, 181, 362, 543, 1086, 1629, 3258
The HCF of 2680,3258 is 2.
Lets's calculate GCF of 2680,3258
| 2 | 2680, 3258 |
| 1340, 1629 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2680,3258 By Matching Biggest Common Factor Method
Now, list down the factors of 2680
:1,2,4,5,8,10,20,40,67,134,268,335,536,670,1340,2680
Now, list down the factors of 3258
:1,2,3,6,9,18,181,362,543,1086,1629,3258
Greatest Common Factor
We found the factors 2680,3258 . The biggest common factor number is the GCF number.
So the greatest common factor 2680,3258 is 2.
Lets's calculate LCM of 208,1278
| 2 | 208, 1278 |
| 104, 639 |
∴ So the LCM of the given numbers is 2 x 104 x 639 = 132912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/132912
Therefore, the GCF of Fractions 2680/208,3258/1278 is 2/132912
Least Common Multiple of 208,1278 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 208,1278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,1278) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(208,1278) x common factors =2 x 1 = 2
LCM(208,1278) = ( 208 × 1278 ) / 2
LCM(208,1278) = 265824 / 2
LCM(208,1278) = 132912
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FAQs on GCF of Fractions of 2680/208, 3258/1278
1. What is the HCF of 2680,3258?
The HCF of 2680,3258 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 2680/208, 3258/1278?
Answer: GCF of Numerators as per given numbers 2680/208, 3258/1278 is
GCF of Numerators i.e. for 2680,3258 is 2
LCM of denominators i.e. for 208,1278 is 132912.
Thus, GCF of Fractions is 2/132912.Finally, GCF of Fractions for 2680/208, 3258/1278 is 2/132912.