GCF of 1298/404, 2628/912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1298/404, 2628/912 i.e 2/92112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1298/404, 2628/912.
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 1298/404,2628/912?
Given fractions are 1298/404,2628/912
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 1298/404,2628/912, numerators are 1298,2628
Denominators are 404,912
The GCF of 1298,2628 is 2 .
LCM of 404,912 is 92112.
The greatest common factor of 1298/404,2628/912 = [GCF of 1298,2628]/[LCM of 404,912]= 2/92112
Therefore, the GCF of 1298/404,2628/912 is 2/92112.
To find the highest common factor of 1298,2628, we have to find the factors of both numbers and list the highest common factor.
The factors of 1298 are 1, 2, 11, 22, 59, 118, 649, 1298
The factors of 2628 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 73, 146, 219, 292, 438, 657, 876, 1314, 2628
The HCF of 1298,2628 is 2.
Lets's calculate GCF of 1298,2628
| 2 | 1298, 2628 |
| 649, 1314 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1298,2628 By Matching Biggest Common Factor Method
Now, list down the factors of 1298
:1,2,11,22,59,118,649,1298
Now, list down the factors of 2628
:1,2,3,4,6,9,12,18,36,73,146,219,292,438,657,876,1314,2628
Greatest Common Factor
We found the factors 1298,2628 . The biggest common factor number is the GCF number.
So the greatest common factor 1298,2628 is 2.
Lets's calculate LCM of 404,912
| 2 | 404, 912 |
| 2 | 202, 456 |
| 101, 228 |
∴ So the LCM of the given numbers is 2 x 2 x 101 x 228 = 92112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/92112
Therefore, the GCF of Fractions 1298/404,2628/912 is 2/92112
Least Common Multiple of 404,912 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 404,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,912) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(404,912) x common factors =4 x 1 = 4
LCM(404,912) = ( 404 × 912 ) / 4
LCM(404,912) = 368448 / 4
LCM(404,912) = 92112
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FAQs on GCF of Fractions of 1298/404, 2628/912
1. What is the HCF of 1298,2628?
The HCF of 1298,2628 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 1298/404, 2628/912?
Answer: GCF of Numerators as per given numbers 1298/404, 2628/912 is
GCF of Numerators i.e. for 1298,2628 is 2
LCM of denominators i.e. for 404,912 is 92112.
Thus, GCF of Fractions is 2/92112.Finally, GCF of Fractions for 1298/404, 2628/912 is 2/92112.