GCF of 2410/702, 6141/1653
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2410/702, 6141/1653 i.e 1/386802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2410/702, 6141/1653.
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 2410/702,6141/1653?
Given fractions are 2410/702,6141/1653
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 2410/702,6141/1653, numerators are 2410,6141
Denominators are 702,1653
The GCF of 2410,6141 is 1 .
LCM of 702,1653 is 386802.
The greatest common factor of 2410/702,6141/1653 = [GCF of 2410,6141]/[LCM of 702,1653]= 1/386802
Therefore, the GCF of 2410/702,6141/1653 is 1/386802.
To find the highest common factor of 2410,6141, we have to find the factors of both numbers and list the highest common factor.
The factors of 2410 are 1, 2, 5, 10, 241, 482, 1205, 2410
The factors of 6141 are 1, 3, 23, 69, 89, 267, 2047, 6141
The HCF of 2410,6141 is 1.
Lets's calculate GCF of 2410,6141
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2410,6141 By Matching Biggest Common Factor Method
Now, list down the factors of 2410
:1,2,5,10,241,482,1205,2410
Now, list down the factors of 6141
:1,3,23,69,89,267,2047,6141
Greatest Common Factor
We found the factors 2410,6141 . The biggest common factor number is the GCF number.
So the greatest common factor 2410,6141 is 1.
Lets's calculate LCM of 702,1653
| 3 | 702, 1653 |
| 234, 551 |
∴ So the LCM of the given numbers is 3 x 234 x 551 = 386802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/386802
Therefore, the GCF of Fractions 2410/702,6141/1653 is 1/386802
Least Common Multiple of 702,1653 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 702,1653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,1653) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(702,1653) x common factors =3 x 1 = 3
LCM(702,1653) = ( 702 × 1653 ) / 3
LCM(702,1653) = 1160406 / 3
LCM(702,1653) = 386802
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FAQs on GCF of Fractions of 2410/702, 6141/1653
1. What is the HCF of 2410,6141?
The HCF of 2410,6141 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 2410/702, 6141/1653?
Answer: GCF of Numerators as per given numbers 2410/702, 6141/1653 is
GCF of Numerators i.e. for 2410,6141 is 1
LCM of denominators i.e. for 702,1653 is 386802.
Thus, GCF of Fractions is 1/386802.Finally, GCF of Fractions for 2410/702, 6141/1653 is 1/386802.