GCF of 4220/676, 1325/674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4220/676, 1325/674 i.e 5/227812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4220/676, 1325/674.
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 4220/676,1325/674?
Given fractions are 4220/676,1325/674
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 4220/676,1325/674, numerators are 4220,1325
Denominators are 676,674
The GCF of 4220,1325 is 5 .
LCM of 676,674 is 227812.
The greatest common factor of 4220/676,1325/674 = [GCF of 4220,1325]/[LCM of 676,674]= 5/227812
Therefore, the GCF of 4220/676,1325/674 is 5/227812.
To find the highest common factor of 4220,1325, we have to find the factors of both numbers and list the highest common factor.
The factors of 4220 are 1, 2, 4, 5, 10, 20, 211, 422, 844, 1055, 2110, 4220
The factors of 1325 are 1, 5, 25, 53, 265, 1325
The HCF of 4220,1325 is 5.
Lets's calculate GCF of 4220,1325
| 5 | 4220, 1325 |
| 844, 265 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4220,1325 By Matching Biggest Common Factor Method
Now, list down the factors of 4220
:1,2,4,5,10,20,211,422,844,1055,2110,4220
Now, list down the factors of 1325
:1,5,25,53,265,1325
Greatest Common Factor
We found the factors 4220,1325 . The biggest common factor number is the GCF number.
So the greatest common factor 4220,1325 is 5.
Lets's calculate LCM of 676,674
| 2 | 676, 674 |
| 338, 337 |
∴ So the LCM of the given numbers is 2 x 338 x 337 = 227812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/227812
Therefore, the GCF of Fractions 4220/676,1325/674 is 5/227812
Least Common Multiple of 676,674 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 676,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(676,674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(676,674) x common factors =2 x 1 = 2
LCM(676,674) = ( 676 × 674 ) / 2
LCM(676,674) = 455624 / 2
LCM(676,674) = 227812
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FAQs on GCF of Fractions of 4220/676, 1325/674
1. What is the HCF of 4220,1325?
The HCF of 4220,1325 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 4220/676, 1325/674?
Answer: GCF of Numerators as per given numbers 4220/676, 1325/674 is
GCF of Numerators i.e. for 4220,1325 is 5
LCM of denominators i.e. for 676,674 is 227812.
Thus, GCF of Fractions is 5/227812.Finally, GCF of Fractions for 4220/676, 1325/674 is 5/227812.