GCF of 2651/314, 4144/152
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2651/314, 4144/152 i.e 1/23864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2651/314, 4144/152.
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 2651/314,4144/152?
Given fractions are 2651/314,4144/152
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 2651/314,4144/152, numerators are 2651,4144
Denominators are 314,152
The GCF of 2651,4144 is 1 .
LCM of 314,152 is 23864.
The greatest common factor of 2651/314,4144/152 = [GCF of 2651,4144]/[LCM of 314,152]= 1/23864
Therefore, the GCF of 2651/314,4144/152 is 1/23864.
To find the highest common factor of 2651,4144, we have to find the factors of both numbers and list the highest common factor.
The factors of 2651 are 1, 11, 241, 2651
The factors of 4144 are 1, 2, 4, 7, 8, 14, 16, 28, 37, 56, 74, 112, 148, 259, 296, 518, 592, 1036, 2072, 4144
The HCF of 2651,4144 is 1.
Lets's calculate GCF of 2651,4144
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2651,4144 By Matching Biggest Common Factor Method
Now, list down the factors of 2651
:1,11,241,2651
Now, list down the factors of 4144
:1,2,4,7,8,14,16,28,37,56,74,112,148,259,296,518,592,1036,2072,4144
Greatest Common Factor
We found the factors 2651,4144 . The biggest common factor number is the GCF number.
So the greatest common factor 2651,4144 is 1.
Lets's calculate LCM of 314,152
| 2 | 314, 152 |
| 157, 76 |
∴ So the LCM of the given numbers is 2 x 157 x 76 = 23864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23864
Therefore, the GCF of Fractions 2651/314,4144/152 is 1/23864
Least Common Multiple of 314,152 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 314,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,152) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(314,152) x common factors =2 x 1 = 2
LCM(314,152) = ( 314 × 152 ) / 2
LCM(314,152) = 47728 / 2
LCM(314,152) = 23864
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FAQs on GCF of Fractions of 2651/314, 4144/152
1. What is the HCF of 2651,4144?
The HCF of 2651,4144 is 1
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 2651/314, 4144/152?
Answer: GCF of Numerators as per given numbers 2651/314, 4144/152 is
GCF of Numerators i.e. for 2651,4144 is 1
LCM of denominators i.e. for 314,152 is 23864.
Thus, GCF of Fractions is 1/23864.Finally, GCF of Fractions for 2651/314, 4144/152 is 1/23864.