GCF of 2602/131, 4914/420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2602/131, 4914/420 i.e 2/55020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2602/131, 4914/420.
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 2602/131,4914/420?
Given fractions are 2602/131,4914/420
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 2602/131,4914/420, numerators are 2602,4914
Denominators are 131,420
The GCF of 2602,4914 is 2 .
LCM of 131,420 is 55020.
The greatest common factor of 2602/131,4914/420 = [GCF of 2602,4914]/[LCM of 131,420]= 2/55020
Therefore, the GCF of 2602/131,4914/420 is 2/55020.
To find the highest common factor of 2602,4914, 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 4914 are 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457, 4914
The HCF of 2602,4914 is 2.
Lets's calculate GCF of 2602,4914
| 2 | 2602, 4914 |
| 1301, 2457 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2602,4914 By Matching Biggest Common Factor Method
Now, list down the factors of 2602
:1,2,1301,2602
Now, list down the factors of 4914
:1,2,3,6,7,9,13,14,18,21,26,27,39,42,54,63,78,91,117,126,182,189,234,273,351,378,546,702,819,1638,2457,4914
Greatest Common Factor
We found the factors 2602,4914 . The biggest common factor number is the GCF number.
So the greatest common factor 2602,4914 is 2.
Lets's calculate LCM of 131,420
Given numbers has no common factors except 1. So, there LCM is their product i.e 55020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/55020
Therefore, the GCF of Fractions 2602/131,4914/420 is 2/55020
Least Common Multiple of 131,420 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 131,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,420) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,420) x common factors =1 x 1 = 1
LCM(131,420) = ( 131 × 420 ) / 1
LCM(131,420) = 55020 / 1
LCM(131,420) = 55020
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FAQs on GCF of Fractions of 2602/131, 4914/420
1. What is the HCF of 2602,4914?
The HCF of 2602,4914 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 2602/131, 4914/420?
Answer: GCF of Numerators as per given numbers 2602/131, 4914/420 is
GCF of Numerators i.e. for 2602,4914 is 2
LCM of denominators i.e. for 131,420 is 55020.
Thus, GCF of Fractions is 2/55020.Finally, GCF of Fractions for 2602/131, 4914/420 is 2/55020.