GCF of 4550/460, 1374/980
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4550/460, 1374/980 i.e 2/22540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4550/460, 1374/980.
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 4550/460,1374/980?
Given fractions are 4550/460,1374/980
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 4550/460,1374/980, numerators are 4550,1374
Denominators are 460,980
The GCF of 4550,1374 is 2 .
LCM of 460,980 is 22540.
The greatest common factor of 4550/460,1374/980 = [GCF of 4550,1374]/[LCM of 460,980]= 2/22540
Therefore, the GCF of 4550/460,1374/980 is 2/22540.
To find the highest common factor of 4550,1374, we have to find the factors of both numbers and list the highest common factor.
The factors of 4550 are 1, 2, 5, 7, 10, 13, 14, 25, 26, 35, 50, 65, 70, 91, 130, 175, 182, 325, 350, 455, 650, 910, 2275, 4550
The factors of 1374 are 1, 2, 3, 6, 229, 458, 687, 1374
The HCF of 4550,1374 is 2.
Lets's calculate GCF of 4550,1374
| 2 | 4550, 1374 |
| 2275, 687 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4550,1374 By Matching Biggest Common Factor Method
Now, list down the factors of 4550
:1,2,5,7,10,13,14,25,26,35,50,65,70,91,130,175,182,325,350,455,650,910,2275,4550
Now, list down the factors of 1374
:1,2,3,6,229,458,687,1374
Greatest Common Factor
We found the factors 4550,1374 . The biggest common factor number is the GCF number.
So the greatest common factor 4550,1374 is 2.
Lets's calculate LCM of 460,980
| 2 | 460, 980 |
| 2 | 230, 490 |
| 5 | 115, 245 |
| 23, 49 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 23 x 49 = 22540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22540
Therefore, the GCF of Fractions 4550/460,1374/980 is 2/22540
Least Common Multiple of 460,980 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 460,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,980) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(460,980) x common factors =20 x 1 = 20
LCM(460,980) = ( 460 × 980 ) / 20
LCM(460,980) = 450800 / 20
LCM(460,980) = 22540
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FAQs on GCF of Fractions of 4550/460, 1374/980
1. What is the HCF of 4550,1374?
The HCF of 4550,1374 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 4550/460, 1374/980?
Answer: GCF of Numerators as per given numbers 4550/460, 1374/980 is
GCF of Numerators i.e. for 4550,1374 is 2
LCM of denominators i.e. for 460,980 is 22540.
Thus, GCF of Fractions is 2/22540.Finally, GCF of Fractions for 4550/460, 1374/980 is 2/22540.