GCF of 9680/228, 4174/5095
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9680/228, 4174/5095 i.e 2/1161660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9680/228, 4174/5095.
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 9680/228,4174/5095?
Given fractions are 9680/228,4174/5095
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 9680/228,4174/5095, numerators are 9680,4174
Denominators are 228,5095
The GCF of 9680,4174 is 2 .
LCM of 228,5095 is 1161660.
The greatest common factor of 9680/228,4174/5095 = [GCF of 9680,4174]/[LCM of 228,5095]= 2/1161660
Therefore, the GCF of 9680/228,4174/5095 is 2/1161660.
To find the highest common factor of 9680,4174, 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 4174 are 1, 2, 2087, 4174
The HCF of 9680,4174 is 2.
Lets's calculate GCF of 9680,4174
| 2 | 9680, 4174 |
| 4840, 2087 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9680,4174 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 4174
:1,2,2087,4174
Greatest Common Factor
We found the factors 9680,4174 . The biggest common factor number is the GCF number.
So the greatest common factor 9680,4174 is 2.
Lets's calculate LCM of 228,5095
Given numbers has no common factors except 1. So, there LCM is their product i.e 1161660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1161660
Therefore, the GCF of Fractions 9680/228,4174/5095 is 2/1161660
Least Common Multiple of 228,5095 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 228,5095 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,5095) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(228,5095) x common factors =1 x 1 = 1
LCM(228,5095) = ( 228 × 5095 ) / 1
LCM(228,5095) = 1161660 / 1
LCM(228,5095) = 1161660
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FAQs on GCF of Fractions of 9680/228, 4174/5095
1. What is the HCF of 9680,4174?
The HCF of 9680,4174 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 9680/228, 4174/5095?
Answer: GCF of Numerators as per given numbers 9680/228, 4174/5095 is
GCF of Numerators i.e. for 9680,4174 is 2
LCM of denominators i.e. for 228,5095 is 1161660.
Thus, GCF of Fractions is 2/1161660.Finally, GCF of Fractions for 9680/228, 4174/5095 is 2/1161660.