GCF of 941/51, 414/139
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 941/51, 414/139 i.e 1/7089 easily. The following is the detailed procedure to determine the greatest common factor of fractions 941/51, 414/139.
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 941/51,414/139?
Given fractions are 941/51,414/139
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 941/51,414/139, numerators are 941,414
Denominators are 51,139
The GCF of 941,414 is 1 .
LCM of 51,139 is 7089.
The greatest common factor of 941/51,414/139 = [GCF of 941,414]/[LCM of 51,139]= 1/7089
Therefore, the GCF of 941/51,414/139 is 1/7089.
To find the highest common factor of 941,414, we have to find the factors of both numbers and list the highest common factor.
The factors of 941 are 1, 941
The factors of 414 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
The HCF of 941,414 is 1.
Lets's calculate GCF of 941,414
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 941,414 By Matching Biggest Common Factor Method
Now, list down the factors of 941
:1,941
Now, list down the factors of 414
:1,2,3,6,9,18,23,46,69,138,207,414
Greatest Common Factor
We found the factors 941,414 . The biggest common factor number is the GCF number.
So the greatest common factor 941,414 is 1.
Lets's calculate LCM of 51,139
Given numbers has no common factors except 1. So, there LCM is their product i.e 7089
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7089
Therefore, the GCF of Fractions 941/51,414/139 is 1/7089
Least Common Multiple of 51,139 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 51,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,139) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,139) x common factors =1 x 1 = 1
LCM(51,139) = ( 51 × 139 ) / 1
LCM(51,139) = 7089 / 1
LCM(51,139) = 7089
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FAQs on GCF of Fractions of 941/51, 414/139
1. What is the HCF of 941,414?
The HCF of 941,414 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 941/51, 414/139?
Answer: GCF of Numerators as per given numbers 941/51, 414/139 is
GCF of Numerators i.e. for 941,414 is 1
LCM of denominators i.e. for 51,139 is 7089.
Thus, GCF of Fractions is 1/7089.Finally, GCF of Fractions for 941/51, 414/139 is 1/7089.