GCF of 4114/244, 7678/3091
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4114/244, 7678/3091 i.e 22/754204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4114/244, 7678/3091.
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 4114/244,7678/3091?
Given fractions are 4114/244,7678/3091
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 4114/244,7678/3091, numerators are 4114,7678
Denominators are 244,3091
The GCF of 4114,7678 is 22 .
LCM of 244,3091 is 754204.
The greatest common factor of 4114/244,7678/3091 = [GCF of 4114,7678]/[LCM of 244,3091]= 22/754204
Therefore, the GCF of 4114/244,7678/3091 is 22/754204.
To find the highest common factor of 4114,7678, we have to find the factors of both numbers and list the highest common factor.
The factors of 4114 are 1, 2, 11, 17, 22, 34, 121, 187, 242, 374, 2057, 4114
The factors of 7678 are 1, 2, 11, 22, 349, 698, 3839, 7678
The HCF of 4114,7678 is 22.
Lets's calculate GCF of 4114,7678
| 2 | 4114, 7678 |
| 11 | 2057, 3839 |
| 187, 349 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 4114,7678 By Matching Biggest Common Factor Method
Now, list down the factors of 4114
:1,2,11,17,22,34,121,187,242,374,2057,4114
Now, list down the factors of 7678
:1,2,11,22,349,698,3839,7678
Greatest Common Factor
We found the factors 4114,7678 . The biggest common factor number is the GCF number.
So the greatest common factor 4114,7678 is 22.
Lets's calculate LCM of 244,3091
Given numbers has no common factors except 1. So, there LCM is their product i.e 754204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/754204
Therefore, the GCF of Fractions 4114/244,7678/3091 is 22/754204
Least Common Multiple of 244,3091 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 244,3091 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(244,3091) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(244,3091) x common factors =1 x 1 = 1
LCM(244,3091) = ( 244 × 3091 ) / 1
LCM(244,3091) = 754204 / 1
LCM(244,3091) = 754204
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FAQs on GCF of Fractions of 4114/244, 7678/3091
1. What is the HCF of 4114,7678?
The HCF of 4114,7678 is 22
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 4114/244, 7678/3091?
Answer: GCF of Numerators as per given numbers 4114/244, 7678/3091 is
GCF of Numerators i.e. for 4114,7678 is 22
LCM of denominators i.e. for 244,3091 is 754204.
Thus, GCF of Fractions is 22/754204.Finally, GCF of Fractions for 4114/244, 7678/3091 is 22/754204.