GCF of 4191/508, 1234/114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4191/508, 1234/114 i.e 1/28956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4191/508, 1234/114.
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 4191/508,1234/114?
Given fractions are 4191/508,1234/114
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 4191/508,1234/114, numerators are 4191,1234
Denominators are 508,114
The GCF of 4191,1234 is 1 .
LCM of 508,114 is 28956.
The greatest common factor of 4191/508,1234/114 = [GCF of 4191,1234]/[LCM of 508,114]= 1/28956
Therefore, the GCF of 4191/508,1234/114 is 1/28956.
To find the highest common factor of 4191,1234, we have to find the factors of both numbers and list the highest common factor.
The factors of 4191 are 1, 3, 11, 33, 127, 381, 1397, 4191
The factors of 1234 are 1, 2, 617, 1234
The HCF of 4191,1234 is 1.
Lets's calculate GCF of 4191,1234
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4191,1234 By Matching Biggest Common Factor Method
Now, list down the factors of 4191
:1,3,11,33,127,381,1397,4191
Now, list down the factors of 1234
:1,2,617,1234
Greatest Common Factor
We found the factors 4191,1234 . The biggest common factor number is the GCF number.
So the greatest common factor 4191,1234 is 1.
Lets's calculate LCM of 508,114
| 2 | 508, 114 |
| 254, 57 |
∴ So the LCM of the given numbers is 2 x 254 x 57 = 28956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28956
Therefore, the GCF of Fractions 4191/508,1234/114 is 1/28956
Least Common Multiple of 508,114 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 508,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,114) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(508,114) x common factors =2 x 1 = 2
LCM(508,114) = ( 508 × 114 ) / 2
LCM(508,114) = 57912 / 2
LCM(508,114) = 28956
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FAQs on GCF of Fractions of 4191/508, 1234/114
1. What is the HCF of 4191,1234?
The HCF of 4191,1234 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 4191/508, 1234/114?
Answer: GCF of Numerators as per given numbers 4191/508, 1234/114 is
GCF of Numerators i.e. for 4191,1234 is 1
LCM of denominators i.e. for 508,114 is 28956.
Thus, GCF of Fractions is 1/28956.Finally, GCF of Fractions for 4191/508, 1234/114 is 1/28956.