GCF of 2379/676, 7622/4490
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2379/676, 7622/4490 i.e 1/1517620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2379/676, 7622/4490.
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 2379/676,7622/4490?
Given fractions are 2379/676,7622/4490
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 2379/676,7622/4490, numerators are 2379,7622
Denominators are 676,4490
The GCF of 2379,7622 is 1 .
LCM of 676,4490 is 1517620.
The greatest common factor of 2379/676,7622/4490 = [GCF of 2379,7622]/[LCM of 676,4490]= 1/1517620
Therefore, the GCF of 2379/676,7622/4490 is 1/1517620.
To find the highest common factor of 2379,7622, we have to find the factors of both numbers and list the highest common factor.
The factors of 2379 are 1, 3, 13, 39, 61, 183, 793, 2379
The factors of 7622 are 1, 2, 37, 74, 103, 206, 3811, 7622
The HCF of 2379,7622 is 1.
Lets's calculate GCF of 2379,7622
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2379,7622 By Matching Biggest Common Factor Method
Now, list down the factors of 2379
:1,3,13,39,61,183,793,2379
Now, list down the factors of 7622
:1,2,37,74,103,206,3811,7622
Greatest Common Factor
We found the factors 2379,7622 . The biggest common factor number is the GCF number.
So the greatest common factor 2379,7622 is 1.
Lets's calculate LCM of 676,4490
| 2 | 676, 4490 |
| 338, 2245 |
∴ So the LCM of the given numbers is 2 x 338 x 2245 = 1517620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1517620
Therefore, the GCF of Fractions 2379/676,7622/4490 is 1/1517620
Least Common Multiple of 676,4490 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 676,4490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(676,4490) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(676,4490) x common factors =2 x 1 = 2
LCM(676,4490) = ( 676 × 4490 ) / 2
LCM(676,4490) = 3035240 / 2
LCM(676,4490) = 1517620
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FAQs on GCF of Fractions of 2379/676, 7622/4490
1. What is the HCF of 2379,7622?
The HCF of 2379,7622 is 1
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 2379/676, 7622/4490?
Answer: GCF of Numerators as per given numbers 2379/676, 7622/4490 is
GCF of Numerators i.e. for 2379,7622 is 1
LCM of denominators i.e. for 676,4490 is 1517620.
Thus, GCF of Fractions is 1/1517620.Finally, GCF of Fractions for 2379/676, 7622/4490 is 1/1517620.