GCF of 2660/938, 2670/8493
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2660/938, 2670/8493 i.e 10/7966434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2660/938, 2670/8493.
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 2660/938,2670/8493?
Given fractions are 2660/938,2670/8493
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 2660/938,2670/8493, numerators are 2660,2670
Denominators are 938,8493
The GCF of 2660,2670 is 10 .
LCM of 938,8493 is 7966434.
The greatest common factor of 2660/938,2670/8493 = [GCF of 2660,2670]/[LCM of 938,8493]= 10/7966434
Therefore, the GCF of 2660/938,2670/8493 is 10/7966434.
To find the highest common factor of 2660,2670, we have to find the factors of both numbers and list the highest common factor.
The factors of 2660 are 1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 38, 70, 76, 95, 133, 140, 190, 266, 380, 532, 665, 1330, 2660
The factors of 2670 are 1, 2, 3, 5, 6, 10, 15, 30, 89, 178, 267, 445, 534, 890, 1335, 2670
The HCF of 2660,2670 is 10.
Lets's calculate GCF of 2660,2670
| 2 | 2660, 2670 |
| 5 | 1330, 1335 |
| 266, 267 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 2660,2670 By Matching Biggest Common Factor Method
Now, list down the factors of 2660
:1,2,4,5,7,10,14,19,20,28,35,38,70,76,95,133,140,190,266,380,532,665,1330,2660
Now, list down the factors of 2670
:1,2,3,5,6,10,15,30,89,178,267,445,534,890,1335,2670
Greatest Common Factor
We found the factors 2660,2670 . The biggest common factor number is the GCF number.
So the greatest common factor 2660,2670 is 10.
Lets's calculate LCM of 938,8493
Given numbers has no common factors except 1. So, there LCM is their product i.e 7966434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/7966434
Therefore, the GCF of Fractions 2660/938,2670/8493 is 10/7966434
Least Common Multiple of 938,8493 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 938,8493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(938,8493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(938,8493) x common factors =1 x 1 = 1
LCM(938,8493) = ( 938 × 8493 ) / 1
LCM(938,8493) = 7966434 / 1
LCM(938,8493) = 7966434
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FAQs on GCF of Fractions of 2660/938, 2670/8493
1. What is the HCF of 2660,2670?
The HCF of 2660,2670 is 10
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 2660/938, 2670/8493?
Answer: GCF of Numerators as per given numbers 2660/938, 2670/8493 is
GCF of Numerators i.e. for 2660,2670 is 10
LCM of denominators i.e. for 938,8493 is 7966434.
Thus, GCF of Fractions is 10/7966434.Finally, GCF of Fractions for 2660/938, 2670/8493 is 10/7966434.