GCF of 4810/880, 5625/9298
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4810/880, 5625/9298 i.e 5/4091120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4810/880, 5625/9298.
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 4810/880,5625/9298?
Given fractions are 4810/880,5625/9298
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 4810/880,5625/9298, numerators are 4810,5625
Denominators are 880,9298
The GCF of 4810,5625 is 5 .
LCM of 880,9298 is 4091120.
The greatest common factor of 4810/880,5625/9298 = [GCF of 4810,5625]/[LCM of 880,9298]= 5/4091120
Therefore, the GCF of 4810/880,5625/9298 is 5/4091120.
To find the highest common factor of 4810,5625, we have to find the factors of both numbers and list the highest common factor.
The factors of 4810 are 1, 2, 5, 10, 13, 26, 37, 65, 74, 130, 185, 370, 481, 962, 2405, 4810
The factors of 5625 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, 5625
The HCF of 4810,5625 is 5.
Lets's calculate GCF of 4810,5625
| 5 | 4810, 5625 |
| 962, 1125 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4810,5625 By Matching Biggest Common Factor Method
Now, list down the factors of 4810
:1,2,5,10,13,26,37,65,74,130,185,370,481,962,2405,4810
Now, list down the factors of 5625
:1,3,5,9,15,25,45,75,125,225,375,625,1125,1875,5625
Greatest Common Factor
We found the factors 4810,5625 . The biggest common factor number is the GCF number.
So the greatest common factor 4810,5625 is 5.
Lets's calculate LCM of 880,9298
| 2 | 880, 9298 |
| 440, 4649 |
∴ So the LCM of the given numbers is 2 x 440 x 4649 = 4091120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/4091120
Therefore, the GCF of Fractions 4810/880,5625/9298 is 5/4091120
Least Common Multiple of 880,9298 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 880,9298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(880,9298) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(880,9298) x common factors =2 x 1 = 2
LCM(880,9298) = ( 880 × 9298 ) / 2
LCM(880,9298) = 8182240 / 2
LCM(880,9298) = 4091120
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FAQs on GCF of Fractions of 4810/880, 5625/9298
1. What is the HCF of 4810,5625?
The HCF of 4810,5625 is 5
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 4810/880, 5625/9298?
Answer: GCF of Numerators as per given numbers 4810/880, 5625/9298 is
GCF of Numerators i.e. for 4810,5625 is 5
LCM of denominators i.e. for 880,9298 is 4091120.
Thus, GCF of Fractions is 5/4091120.Finally, GCF of Fractions for 4810/880, 5625/9298 is 5/4091120.