GCF of 7906/509, 7263/5170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7906/509, 7263/5170 i.e 1/2631530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7906/509, 7263/5170.
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 7906/509,7263/5170?
Given fractions are 7906/509,7263/5170
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 7906/509,7263/5170, numerators are 7906,7263
Denominators are 509,5170
The GCF of 7906,7263 is 1 .
LCM of 509,5170 is 2631530.
The greatest common factor of 7906/509,7263/5170 = [GCF of 7906,7263]/[LCM of 509,5170]= 1/2631530
Therefore, the GCF of 7906/509,7263/5170 is 1/2631530.
To find the highest common factor of 7906,7263, we have to find the factors of both numbers and list the highest common factor.
The factors of 7906 are 1, 2, 59, 67, 118, 134, 3953, 7906
The factors of 7263 are 1, 3, 9, 27, 269, 807, 2421, 7263
The HCF of 7906,7263 is 1.
Lets's calculate GCF of 7906,7263
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7906,7263 By Matching Biggest Common Factor Method
Now, list down the factors of 7906
:1,2,59,67,118,134,3953,7906
Now, list down the factors of 7263
:1,3,9,27,269,807,2421,7263
Greatest Common Factor
We found the factors 7906,7263 . The biggest common factor number is the GCF number.
So the greatest common factor 7906,7263 is 1.
Lets's calculate LCM of 509,5170
Given numbers has no common factors except 1. So, there LCM is their product i.e 2631530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2631530
Therefore, the GCF of Fractions 7906/509,7263/5170 is 1/2631530
Least Common Multiple of 509,5170 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 509,5170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,5170) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,5170) x common factors =1 x 1 = 1
LCM(509,5170) = ( 509 × 5170 ) / 1
LCM(509,5170) = 2631530 / 1
LCM(509,5170) = 2631530
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7906/509, 7263/5170
1. What is the HCF of 7906,7263?
The HCF of 7906,7263 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 7906/509, 7263/5170?
Answer: GCF of Numerators as per given numbers 7906/509, 7263/5170 is
GCF of Numerators i.e. for 7906,7263 is 1
LCM of denominators i.e. for 509,5170 is 2631530.
Thus, GCF of Fractions is 1/2631530.Finally, GCF of Fractions for 7906/509, 7263/5170 is 1/2631530.