GCF of 1002/722, 6038/2598
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1002/722, 6038/2598 i.e 2/937878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1002/722, 6038/2598.
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 1002/722,6038/2598?
Given fractions are 1002/722,6038/2598
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 1002/722,6038/2598, numerators are 1002,6038
Denominators are 722,2598
The GCF of 1002,6038 is 2 .
LCM of 722,2598 is 937878.
The greatest common factor of 1002/722,6038/2598 = [GCF of 1002,6038]/[LCM of 722,2598]= 2/937878
Therefore, the GCF of 1002/722,6038/2598 is 2/937878.
To find the highest common factor of 1002,6038, we have to find the factors of both numbers and list the highest common factor.
The factors of 1002 are 1, 2, 3, 6, 167, 334, 501, 1002
The factors of 6038 are 1, 2, 3019, 6038
The HCF of 1002,6038 is 2.
Lets's calculate GCF of 1002,6038
| 2 | 1002, 6038 |
| 501, 3019 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1002,6038 By Matching Biggest Common Factor Method
Now, list down the factors of 1002
:1,2,3,6,167,334,501,1002
Now, list down the factors of 6038
:1,2,3019,6038
Greatest Common Factor
We found the factors 1002,6038 . The biggest common factor number is the GCF number.
So the greatest common factor 1002,6038 is 2.
Lets's calculate LCM of 722,2598
| 2 | 722, 2598 |
| 361, 1299 |
∴ So the LCM of the given numbers is 2 x 361 x 1299 = 937878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/937878
Therefore, the GCF of Fractions 1002/722,6038/2598 is 2/937878
Least Common Multiple of 722,2598 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 722,2598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,2598) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,2598) x common factors =2 x 1 = 2
LCM(722,2598) = ( 722 × 2598 ) / 2
LCM(722,2598) = 1875756 / 2
LCM(722,2598) = 937878
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FAQs on GCF of Fractions of 1002/722, 6038/2598
1. What is the HCF of 1002,6038?
The HCF of 1002,6038 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 1002/722, 6038/2598?
Answer: GCF of Numerators as per given numbers 1002/722, 6038/2598 is
GCF of Numerators i.e. for 1002,6038 is 2
LCM of denominators i.e. for 722,2598 is 937878.
Thus, GCF of Fractions is 2/937878.Finally, GCF of Fractions for 1002/722, 6038/2598 is 2/937878.