GCF of 2526/465, 5298/1079
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2526/465, 5298/1079 i.e 6/501735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2526/465, 5298/1079.
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 2526/465,5298/1079?
Given fractions are 2526/465,5298/1079
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 2526/465,5298/1079, numerators are 2526,5298
Denominators are 465,1079
The GCF of 2526,5298 is 6 .
LCM of 465,1079 is 501735.
The greatest common factor of 2526/465,5298/1079 = [GCF of 2526,5298]/[LCM of 465,1079]= 6/501735
Therefore, the GCF of 2526/465,5298/1079 is 6/501735.
To find the highest common factor of 2526,5298, we have to find the factors of both numbers and list the highest common factor.
The factors of 2526 are 1, 2, 3, 6, 421, 842, 1263, 2526
The factors of 5298 are 1, 2, 3, 6, 883, 1766, 2649, 5298
The HCF of 2526,5298 is 6.
Lets's calculate GCF of 2526,5298
| 2 | 2526, 5298 |
| 3 | 1263, 2649 |
| 421, 883 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 2526,5298 By Matching Biggest Common Factor Method
Now, list down the factors of 2526
:1,2,3,6,421,842,1263,2526
Now, list down the factors of 5298
:1,2,3,6,883,1766,2649,5298
Greatest Common Factor
We found the factors 2526,5298 . The biggest common factor number is the GCF number.
So the greatest common factor 2526,5298 is 6.
Lets's calculate LCM of 465,1079
Given numbers has no common factors except 1. So, there LCM is their product i.e 501735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/501735
Therefore, the GCF of Fractions 2526/465,5298/1079 is 6/501735
Least Common Multiple of 465,1079 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 465,1079 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(465,1079) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(465,1079) x common factors =1 x 1 = 1
LCM(465,1079) = ( 465 × 1079 ) / 1
LCM(465,1079) = 501735 / 1
LCM(465,1079) = 501735
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FAQs on GCF of Fractions of 2526/465, 5298/1079
1. What is the HCF of 2526,5298?
The HCF of 2526,5298 is 6
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 2526/465, 5298/1079?
Answer: GCF of Numerators as per given numbers 2526/465, 5298/1079 is
GCF of Numerators i.e. for 2526,5298 is 6
LCM of denominators i.e. for 465,1079 is 501735.
Thus, GCF of Fractions is 6/501735.Finally, GCF of Fractions for 2526/465, 5298/1079 is 6/501735.