GCF of 9680/476, 4220/8728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9680/476, 4220/8728 i.e 20/1038632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9680/476, 4220/8728.
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 9680/476,4220/8728?
Given fractions are 9680/476,4220/8728
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 9680/476,4220/8728, numerators are 9680,4220
Denominators are 476,8728
The GCF of 9680,4220 is 20 .
LCM of 476,8728 is 1038632.
The greatest common factor of 9680/476,4220/8728 = [GCF of 9680,4220]/[LCM of 476,8728]= 20/1038632
Therefore, the GCF of 9680/476,4220/8728 is 20/1038632.
To find the highest common factor of 9680,4220, we have to find the factors of both numbers and list the highest common factor.
The factors of 9680 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 121, 176, 220, 242, 440, 484, 605, 880, 968, 1210, 1936, 2420, 4840, 9680
The factors of 4220 are 1, 2, 4, 5, 10, 20, 211, 422, 844, 1055, 2110, 4220
The HCF of 9680,4220 is 20.
Lets's calculate GCF of 9680,4220
| 2 | 9680, 4220 |
| 2 | 4840, 2110 |
| 5 | 2420, 1055 |
| 484, 211 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 9680,4220 By Matching Biggest Common Factor Method
Now, list down the factors of 9680
:1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,121,176,220,242,440,484,605,880,968,1210,1936,2420,4840,9680
Now, list down the factors of 4220
:1,2,4,5,10,20,211,422,844,1055,2110,4220
Greatest Common Factor
We found the factors 9680,4220 . The biggest common factor number is the GCF number.
So the greatest common factor 9680,4220 is 20.
Lets's calculate LCM of 476,8728
| 2 | 476, 8728 |
| 2 | 238, 4364 |
| 119, 2182 |
∴ So the LCM of the given numbers is 2 x 2 x 119 x 2182 = 1038632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/1038632
Therefore, the GCF of Fractions 9680/476,4220/8728 is 20/1038632
Least Common Multiple of 476,8728 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 476,8728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,8728) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(476,8728) x common factors =4 x 1 = 4
LCM(476,8728) = ( 476 × 8728 ) / 4
LCM(476,8728) = 4154528 / 4
LCM(476,8728) = 1038632
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FAQs on GCF of Fractions of 9680/476, 4220/8728
1. What is the HCF of 9680,4220?
The HCF of 9680,4220 is 20
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 9680/476, 4220/8728?
Answer: GCF of Numerators as per given numbers 9680/476, 4220/8728 is
GCF of Numerators i.e. for 9680,4220 is 20
LCM of denominators i.e. for 476,8728 is 1038632.
Thus, GCF of Fractions is 20/1038632.Finally, GCF of Fractions for 9680/476, 4220/8728 is 20/1038632.