GCF of 2156/968, 4420/301
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2156/968, 4420/301 i.e 4/291368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2156/968, 4420/301.
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 2156/968,4420/301?
Given fractions are 2156/968,4420/301
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 2156/968,4420/301, numerators are 2156,4420
Denominators are 968,301
The GCF of 2156,4420 is 4 .
LCM of 968,301 is 291368.
The greatest common factor of 2156/968,4420/301 = [GCF of 2156,4420]/[LCM of 968,301]= 4/291368
Therefore, the GCF of 2156/968,4420/301 is 4/291368.
To find the highest common factor of 2156,4420, we have to find the factors of both numbers and list the highest common factor.
The factors of 2156 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078, 2156
The factors of 4420 are 1, 2, 4, 5, 10, 13, 17, 20, 26, 34, 52, 65, 68, 85, 130, 170, 221, 260, 340, 442, 884, 1105, 2210, 4420
The HCF of 2156,4420 is 4.
Lets's calculate GCF of 2156,4420
| 2 | 2156, 4420 |
| 2 | 1078, 2210 |
| 539, 1105 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2156,4420 By Matching Biggest Common Factor Method
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
Now, list down the factors of 4420
:1,2,4,5,10,13,17,20,26,34,52,65,68,85,130,170,221,260,340,442,884,1105,2210,4420
Greatest Common Factor
We found the factors 2156,4420 . The biggest common factor number is the GCF number.
So the greatest common factor 2156,4420 is 4.
Lets's calculate LCM of 968,301
Given numbers has no common factors except 1. So, there LCM is their product i.e 291368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/291368
Therefore, the GCF of Fractions 2156/968,4420/301 is 4/291368
Least Common Multiple of 968,301 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 968,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,301) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(968,301) x common factors =1 x 1 = 1
LCM(968,301) = ( 968 × 301 ) / 1
LCM(968,301) = 291368 / 1
LCM(968,301) = 291368
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FAQs on GCF of Fractions of 2156/968, 4420/301
1. What is the HCF of 2156,4420?
The HCF of 2156,4420 is 4
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 2156/968, 4420/301?
Answer: GCF of Numerators as per given numbers 2156/968, 4420/301 is
GCF of Numerators i.e. for 2156,4420 is 4
LCM of denominators i.e. for 968,301 is 291368.
Thus, GCF of Fractions is 4/291368.Finally, GCF of Fractions for 2156/968, 4420/301 is 4/291368.