GCF of 7051/559, 6236/1959
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7051/559, 6236/1959 i.e 1/1095081 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7051/559, 6236/1959.
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 7051/559,6236/1959?
Given fractions are 7051/559,6236/1959
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 7051/559,6236/1959, numerators are 7051,6236
Denominators are 559,1959
The GCF of 7051,6236 is 1 .
LCM of 559,1959 is 1095081.
The greatest common factor of 7051/559,6236/1959 = [GCF of 7051,6236]/[LCM of 559,1959]= 1/1095081
Therefore, the GCF of 7051/559,6236/1959 is 1/1095081.
To find the highest common factor of 7051,6236, we have to find the factors of both numbers and list the highest common factor.
The factors of 7051 are 1, 11, 641, 7051
The factors of 6236 are 1, 2, 4, 1559, 3118, 6236
The HCF of 7051,6236 is 1.
Lets's calculate GCF of 7051,6236
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7051,6236 By Matching Biggest Common Factor Method
Now, list down the factors of 7051
:1,11,641,7051
Now, list down the factors of 6236
:1,2,4,1559,3118,6236
Greatest Common Factor
We found the factors 7051,6236 . The biggest common factor number is the GCF number.
So the greatest common factor 7051,6236 is 1.
Lets's calculate LCM of 559,1959
Given numbers has no common factors except 1. So, there LCM is their product i.e 1095081
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1095081
Therefore, the GCF of Fractions 7051/559,6236/1959 is 1/1095081
Least Common Multiple of 559,1959 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 559,1959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,1959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(559,1959) x common factors =1 x 1 = 1
LCM(559,1959) = ( 559 × 1959 ) / 1
LCM(559,1959) = 1095081 / 1
LCM(559,1959) = 1095081
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7051/559, 6236/1959
1. What is the HCF of 7051,6236?
The HCF of 7051,6236 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 7051/559, 6236/1959?
Answer: GCF of Numerators as per given numbers 7051/559, 6236/1959 is
GCF of Numerators i.e. for 7051,6236 is 1
LCM of denominators i.e. for 559,1959 is 1095081.
Thus, GCF of Fractions is 1/1095081.Finally, GCF of Fractions for 7051/559, 6236/1959 is 1/1095081.