GCF of 2602/634, 9880/628
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2602/634, 9880/628 i.e 2/199076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2602/634, 9880/628.
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 2602/634,9880/628?
Given fractions are 2602/634,9880/628
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 2602/634,9880/628, numerators are 2602,9880
Denominators are 634,628
The GCF of 2602,9880 is 2 .
LCM of 634,628 is 199076.
The greatest common factor of 2602/634,9880/628 = [GCF of 2602,9880]/[LCM of 634,628]= 2/199076
Therefore, the GCF of 2602/634,9880/628 is 2/199076.
To find the highest common factor of 2602,9880, 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 9880 are 1, 2, 4, 5, 8, 10, 13, 19, 20, 26, 38, 40, 52, 65, 76, 95, 104, 130, 152, 190, 247, 260, 380, 494, 520, 760, 988, 1235, 1976, 2470, 4940, 9880
The HCF of 2602,9880 is 2.
Lets's calculate GCF of 2602,9880
| 2 | 2602, 9880 |
| 1301, 4940 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2602,9880 By Matching Biggest Common Factor Method
Now, list down the factors of 2602
:1,2,1301,2602
Now, list down the factors of 9880
:1,2,4,5,8,10,13,19,20,26,38,40,52,65,76,95,104,130,152,190,247,260,380,494,520,760,988,1235,1976,2470,4940,9880
Greatest Common Factor
We found the factors 2602,9880 . The biggest common factor number is the GCF number.
So the greatest common factor 2602,9880 is 2.
Lets's calculate LCM of 634,628
| 2 | 634, 628 |
| 317, 314 |
∴ So the LCM of the given numbers is 2 x 317 x 314 = 199076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/199076
Therefore, the GCF of Fractions 2602/634,9880/628 is 2/199076
Least Common Multiple of 634,628 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 634,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,628) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(634,628) x common factors =2 x 1 = 2
LCM(634,628) = ( 634 × 628 ) / 2
LCM(634,628) = 398152 / 2
LCM(634,628) = 199076
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FAQs on GCF of Fractions of 2602/634, 9880/628
1. What is the HCF of 2602,9880?
The HCF of 2602,9880 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 2602/634, 9880/628?
Answer: GCF of Numerators as per given numbers 2602/634, 9880/628 is
GCF of Numerators i.e. for 2602,9880 is 2
LCM of denominators i.e. for 634,628 is 199076.
Thus, GCF of Fractions is 2/199076.Finally, GCF of Fractions for 2602/634, 9880/628 is 2/199076.