GCF of 7274/979, 7261/5827
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7274/979, 7261/5827 i.e 1/5704633 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7274/979, 7261/5827.
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 7274/979,7261/5827?
Given fractions are 7274/979,7261/5827
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 7274/979,7261/5827, numerators are 7274,7261
Denominators are 979,5827
The GCF of 7274,7261 is 1 .
LCM of 979,5827 is 5704633.
The greatest common factor of 7274/979,7261/5827 = [GCF of 7274,7261]/[LCM of 979,5827]= 1/5704633
Therefore, the GCF of 7274/979,7261/5827 is 1/5704633.
To find the highest common factor of 7274,7261, we have to find the factors of both numbers and list the highest common factor.
The factors of 7274 are 1, 2, 3637, 7274
The factors of 7261 are 1, 53, 137, 7261
The HCF of 7274,7261 is 1.
Lets's calculate GCF of 7274,7261
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7274,7261 By Matching Biggest Common Factor Method
Now, list down the factors of 7274
:1,2,3637,7274
Now, list down the factors of 7261
:1,53,137,7261
Greatest Common Factor
We found the factors 7274,7261 . The biggest common factor number is the GCF number.
So the greatest common factor 7274,7261 is 1.
Lets's calculate LCM of 979,5827
Given numbers has no common factors except 1. So, there LCM is their product i.e 5704633
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5704633
Therefore, the GCF of Fractions 7274/979,7261/5827 is 1/5704633
Least Common Multiple of 979,5827 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 979,5827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,5827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(979,5827) x common factors =1 x 1 = 1
LCM(979,5827) = ( 979 × 5827 ) / 1
LCM(979,5827) = 5704633 / 1
LCM(979,5827) = 5704633
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FAQs on GCF of Fractions of 7274/979, 7261/5827
1. What is the HCF of 7274,7261?
The HCF of 7274,7261 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 7274/979, 7261/5827?
Answer: GCF of Numerators as per given numbers 7274/979, 7261/5827 is
GCF of Numerators i.e. for 7274,7261 is 1
LCM of denominators i.e. for 979,5827 is 5704633.
Thus, GCF of Fractions is 1/5704633.Finally, GCF of Fractions for 7274/979, 7261/5827 is 1/5704633.