GCF of 2602/464, 7642/1304
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2602/464, 7642/1304 i.e 2/75632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2602/464, 7642/1304.
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 2602/464,7642/1304?
Given fractions are 2602/464,7642/1304
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 2602/464,7642/1304, numerators are 2602,7642
Denominators are 464,1304
The GCF of 2602,7642 is 2 .
LCM of 464,1304 is 75632.
The greatest common factor of 2602/464,7642/1304 = [GCF of 2602,7642]/[LCM of 464,1304]= 2/75632
Therefore, the GCF of 2602/464,7642/1304 is 2/75632.
To find the highest common factor of 2602,7642, we have to find the factors of both numbers and list the highest common factor.
The factors of 2602 are 1, 2, 1301, 2602
The factors of 7642 are 1, 2, 3821, 7642
The HCF of 2602,7642 is 2.
Lets's calculate GCF of 2602,7642
| 2 | 2602, 7642 |
| 1301, 3821 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2602,7642 By Matching Biggest Common Factor Method
Now, list down the factors of 2602
:1,2,1301,2602
Now, list down the factors of 7642
:1,2,3821,7642
Greatest Common Factor
We found the factors 2602,7642 . The biggest common factor number is the GCF number.
So the greatest common factor 2602,7642 is 2.
Lets's calculate LCM of 464,1304
| 2 | 464, 1304 |
| 2 | 232, 652 |
| 2 | 116, 326 |
| 58, 163 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 58 x 163 = 75632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/75632
Therefore, the GCF of Fractions 2602/464,7642/1304 is 2/75632
Least Common Multiple of 464,1304 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 464,1304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,1304) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(464,1304) x common factors =8 x 1 = 8
LCM(464,1304) = ( 464 × 1304 ) / 8
LCM(464,1304) = 605056 / 8
LCM(464,1304) = 75632
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2602/464, 7642/1304
1. What is the HCF of 2602,7642?
The HCF of 2602,7642 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 2602/464, 7642/1304?
Answer: GCF of Numerators as per given numbers 2602/464, 7642/1304 is
GCF of Numerators i.e. for 2602,7642 is 2
LCM of denominators i.e. for 464,1304 is 75632.
Thus, GCF of Fractions is 2/75632.Finally, GCF of Fractions for 2602/464, 7642/1304 is 2/75632.