GCF of 2676/962, 2040/664
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2676/962, 2040/664 i.e 12/319384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2676/962, 2040/664.
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 2676/962,2040/664?
Given fractions are 2676/962,2040/664
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 2676/962,2040/664, numerators are 2676,2040
Denominators are 962,664
The GCF of 2676,2040 is 12 .
LCM of 962,664 is 319384.
The greatest common factor of 2676/962,2040/664 = [GCF of 2676,2040]/[LCM of 962,664]= 12/319384
Therefore, the GCF of 2676/962,2040/664 is 12/319384.
To find the highest common factor of 2676,2040, we have to find the factors of both numbers and list the highest common factor.
The factors of 2676 are 1, 2, 3, 4, 6, 12, 223, 446, 669, 892, 1338, 2676
The factors of 2040 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 51, 60, 68, 85, 102, 120, 136, 170, 204, 255, 340, 408, 510, 680, 1020, 2040
The HCF of 2676,2040 is 12.
Lets's calculate GCF of 2676,2040
| 2 | 2676, 2040 |
| 2 | 1338, 1020 |
| 3 | 669, 510 |
| 223, 170 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 2676,2040 By Matching Biggest Common Factor Method
Now, list down the factors of 2676
:1,2,3,4,6,12,223,446,669,892,1338,2676
Now, list down the factors of 2040
:1,2,3,4,5,6,8,10,12,15,17,20,24,30,34,40,51,60,68,85,102,120,136,170,204,255,340,408,510,680,1020,2040
Greatest Common Factor
We found the factors 2676,2040 . The biggest common factor number is the GCF number.
So the greatest common factor 2676,2040 is 12.
Lets's calculate LCM of 962,664
| 2 | 962, 664 |
| 481, 332 |
∴ So the LCM of the given numbers is 2 x 481 x 332 = 319384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/319384
Therefore, the GCF of Fractions 2676/962,2040/664 is 12/319384
Least Common Multiple of 962,664 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 962,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(962,664) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(962,664) x common factors =2 x 1 = 2
LCM(962,664) = ( 962 × 664 ) / 2
LCM(962,664) = 638768 / 2
LCM(962,664) = 319384
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FAQs on GCF of Fractions of 2676/962, 2040/664
1. What is the HCF of 2676,2040?
The HCF of 2676,2040 is 12
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 2676/962, 2040/664?
Answer: GCF of Numerators as per given numbers 2676/962, 2040/664 is
GCF of Numerators i.e. for 2676,2040 is 12
LCM of denominators i.e. for 962,664 is 319384.
Thus, GCF of Fractions is 12/319384.Finally, GCF of Fractions for 2676/962, 2040/664 is 12/319384.