GCF of 4642/370, 7128/9460
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4642/370, 7128/9460 i.e 22/350020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4642/370, 7128/9460.
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 4642/370,7128/9460?
Given fractions are 4642/370,7128/9460
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 4642/370,7128/9460, numerators are 4642,7128
Denominators are 370,9460
The GCF of 4642,7128 is 22 .
LCM of 370,9460 is 350020.
The greatest common factor of 4642/370,7128/9460 = [GCF of 4642,7128]/[LCM of 370,9460]= 22/350020
Therefore, the GCF of 4642/370,7128/9460 is 22/350020.
To find the highest common factor of 4642,7128, we have to find the factors of both numbers and list the highest common factor.
The factors of 4642 are 1, 2, 11, 22, 211, 422, 2321, 4642
The factors of 7128 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 81, 88, 99, 108, 132, 162, 198, 216, 264, 297, 324, 396, 594, 648, 792, 891, 1188, 1782, 2376, 3564, 7128
The HCF of 4642,7128 is 22.
Lets's calculate GCF of 4642,7128
| 2 | 4642, 7128 |
| 11 | 2321, 3564 |
| 211, 324 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 4642,7128 By Matching Biggest Common Factor Method
Now, list down the factors of 4642
:1,2,11,22,211,422,2321,4642
Now, list down the factors of 7128
:1,2,3,4,6,8,9,11,12,18,22,24,27,33,36,44,54,66,72,81,88,99,108,132,162,198,216,264,297,324,396,594,648,792,891,1188,1782,2376,3564,7128
Greatest Common Factor
We found the factors 4642,7128 . The biggest common factor number is the GCF number.
So the greatest common factor 4642,7128 is 22.
Lets's calculate LCM of 370,9460
| 2 | 370, 9460 |
| 5 | 185, 4730 |
| 37, 946 |
∴ So the LCM of the given numbers is 2 x 5 x 37 x 946 = 350020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/350020
Therefore, the GCF of Fractions 4642/370,7128/9460 is 22/350020
Least Common Multiple of 370,9460 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 370,9460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,9460) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(370,9460) x common factors =10 x 1 = 10
LCM(370,9460) = ( 370 × 9460 ) / 10
LCM(370,9460) = 3500200 / 10
LCM(370,9460) = 350020
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FAQs on GCF of Fractions of 4642/370, 7128/9460
1. What is the HCF of 4642,7128?
The HCF of 4642,7128 is 22
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 4642/370, 7128/9460?
Answer: GCF of Numerators as per given numbers 4642/370, 7128/9460 is
GCF of Numerators i.e. for 4642,7128 is 22
LCM of denominators i.e. for 370,9460 is 350020.
Thus, GCF of Fractions is 22/350020.Finally, GCF of Fractions for 4642/370, 7128/9460 is 22/350020.