GCF of 4712/103, 2826/256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4712/103, 2826/256 i.e 2/26368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4712/103, 2826/256.
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 4712/103,2826/256?
Given fractions are 4712/103,2826/256
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 4712/103,2826/256, numerators are 4712,2826
Denominators are 103,256
The GCF of 4712,2826 is 2 .
LCM of 103,256 is 26368.
The greatest common factor of 4712/103,2826/256 = [GCF of 4712,2826]/[LCM of 103,256]= 2/26368
Therefore, the GCF of 4712/103,2826/256 is 2/26368.
To find the highest common factor of 4712,2826, we have to find the factors of both numbers and list the highest common factor.
The factors of 4712 are 1, 2, 4, 8, 19, 31, 38, 62, 76, 124, 152, 248, 589, 1178, 2356, 4712
The factors of 2826 are 1, 2, 3, 6, 9, 18, 157, 314, 471, 942, 1413, 2826
The HCF of 4712,2826 is 2.
Lets's calculate GCF of 4712,2826
| 2 | 4712, 2826 |
| 2356, 1413 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4712,2826 By Matching Biggest Common Factor Method
Now, list down the factors of 4712
:1,2,4,8,19,31,38,62,76,124,152,248,589,1178,2356,4712
Now, list down the factors of 2826
:1,2,3,6,9,18,157,314,471,942,1413,2826
Greatest Common Factor
We found the factors 4712,2826 . The biggest common factor number is the GCF number.
So the greatest common factor 4712,2826 is 2.
Lets's calculate LCM of 103,256
Given numbers has no common factors except 1. So, there LCM is their product i.e 26368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26368
Therefore, the GCF of Fractions 4712/103,2826/256 is 2/26368
Least Common Multiple of 103,256 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 103,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,256) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,256) x common factors =1 x 1 = 1
LCM(103,256) = ( 103 × 256 ) / 1
LCM(103,256) = 26368 / 1
LCM(103,256) = 26368
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FAQs on GCF of Fractions of 4712/103, 2826/256
1. What is the HCF of 4712,2826?
The HCF of 4712,2826 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 4712/103, 2826/256?
Answer: GCF of Numerators as per given numbers 4712/103, 2826/256 is
GCF of Numerators i.e. for 4712,2826 is 2
LCM of denominators i.e. for 103,256 is 26368.
Thus, GCF of Fractions is 2/26368.Finally, GCF of Fractions for 4712/103, 2826/256 is 2/26368.