GCF of 2944/948, 7678/4743
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2944/948, 7678/4743 i.e 2/1498788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2944/948, 7678/4743.
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 2944/948,7678/4743?
Given fractions are 2944/948,7678/4743
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 2944/948,7678/4743, numerators are 2944,7678
Denominators are 948,4743
The GCF of 2944,7678 is 2 .
LCM of 948,4743 is 1498788.
The greatest common factor of 2944/948,7678/4743 = [GCF of 2944,7678]/[LCM of 948,4743]= 2/1498788
Therefore, the GCF of 2944/948,7678/4743 is 2/1498788.
To find the highest common factor of 2944,7678, we have to find the factors of both numbers and list the highest common factor.
The factors of 2944 are 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 368, 736, 1472, 2944
The factors of 7678 are 1, 2, 11, 22, 349, 698, 3839, 7678
The HCF of 2944,7678 is 2.
Lets's calculate GCF of 2944,7678
| 2 | 2944, 7678 |
| 1472, 3839 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2944,7678 By Matching Biggest Common Factor Method
Now, list down the factors of 2944
:1,2,4,8,16,23,32,46,64,92,128,184,368,736,1472,2944
Now, list down the factors of 7678
:1,2,11,22,349,698,3839,7678
Greatest Common Factor
We found the factors 2944,7678 . The biggest common factor number is the GCF number.
So the greatest common factor 2944,7678 is 2.
Lets's calculate LCM of 948,4743
| 3 | 948, 4743 |
| 316, 1581 |
∴ So the LCM of the given numbers is 3 x 316 x 1581 = 1498788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1498788
Therefore, the GCF of Fractions 2944/948,7678/4743 is 2/1498788
Least Common Multiple of 948,4743 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 948,4743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,4743) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(948,4743) x common factors =3 x 1 = 3
LCM(948,4743) = ( 948 × 4743 ) / 3
LCM(948,4743) = 4496364 / 3
LCM(948,4743) = 1498788
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FAQs on GCF of Fractions of 2944/948, 7678/4743
1. What is the HCF of 2944,7678?
The HCF of 2944,7678 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 2944/948, 7678/4743?
Answer: GCF of Numerators as per given numbers 2944/948, 7678/4743 is
GCF of Numerators i.e. for 2944,7678 is 2
LCM of denominators i.e. for 948,4743 is 1498788.
Thus, GCF of Fractions is 2/1498788.Finally, GCF of Fractions for 2944/948, 7678/4743 is 2/1498788.