GCF of 5322/478, 2156/8314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5322/478, 2156/8314 i.e 2/1987046 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5322/478, 2156/8314.
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 5322/478,2156/8314?
Given fractions are 5322/478,2156/8314
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 5322/478,2156/8314, numerators are 5322,2156
Denominators are 478,8314
The GCF of 5322,2156 is 2 .
LCM of 478,8314 is 1987046.
The greatest common factor of 5322/478,2156/8314 = [GCF of 5322,2156]/[LCM of 478,8314]= 2/1987046
Therefore, the GCF of 5322/478,2156/8314 is 2/1987046.
To find the highest common factor of 5322,2156, we have to find the factors of both numbers and list the highest common factor.
The factors of 5322 are 1, 2, 3, 6, 887, 1774, 2661, 5322
The factors of 2156 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078, 2156
The HCF of 5322,2156 is 2.
Lets's calculate GCF of 5322,2156
| 2 | 5322, 2156 |
| 2661, 1078 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5322,2156 By Matching Biggest Common Factor Method
Now, list down the factors of 5322
:1,2,3,6,887,1774,2661,5322
Now, list down the factors of 2156
:1,2,4,7,11,14,22,28,44,49,77,98,154,196,308,539,1078,2156
Greatest Common Factor
We found the factors 5322,2156 . The biggest common factor number is the GCF number.
So the greatest common factor 5322,2156 is 2.
Lets's calculate LCM of 478,8314
| 2 | 478, 8314 |
| 239, 4157 |
∴ So the LCM of the given numbers is 2 x 239 x 4157 = 1987046
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1987046
Therefore, the GCF of Fractions 5322/478,2156/8314 is 2/1987046
Least Common Multiple of 478,8314 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 478,8314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,8314) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(478,8314) x common factors =2 x 1 = 2
LCM(478,8314) = ( 478 × 8314 ) / 2
LCM(478,8314) = 3974092 / 2
LCM(478,8314) = 1987046
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FAQs on GCF of Fractions of 5322/478, 2156/8314
1. What is the HCF of 5322,2156?
The HCF of 5322,2156 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 5322/478, 2156/8314?
Answer: GCF of Numerators as per given numbers 5322/478, 2156/8314 is
GCF of Numerators i.e. for 5322,2156 is 2
LCM of denominators i.e. for 478,8314 is 1987046.
Thus, GCF of Fractions is 2/1987046.Finally, GCF of Fractions for 5322/478, 2156/8314 is 2/1987046.