GCF of 1062/109, 9277/2546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1062/109, 9277/2546 i.e 1/277514 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1062/109, 9277/2546.
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 1062/109,9277/2546?
Given fractions are 1062/109,9277/2546
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 1062/109,9277/2546, numerators are 1062,9277
Denominators are 109,2546
The GCF of 1062,9277 is 1 .
LCM of 109,2546 is 277514.
The greatest common factor of 1062/109,9277/2546 = [GCF of 1062,9277]/[LCM of 109,2546]= 1/277514
Therefore, the GCF of 1062/109,9277/2546 is 1/277514.
To find the highest common factor of 1062,9277, we have to find the factors of both numbers and list the highest common factor.
The factors of 1062 are 1, 2, 3, 6, 9, 18, 59, 118, 177, 354, 531, 1062
The factors of 9277 are 1, 9277
The HCF of 1062,9277 is 1.
Lets's calculate GCF of 1062,9277
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1062,9277 By Matching Biggest Common Factor Method
Now, list down the factors of 1062
:1,2,3,6,9,18,59,118,177,354,531,1062
Now, list down the factors of 9277
:1,9277
Greatest Common Factor
We found the factors 1062,9277 . The biggest common factor number is the GCF number.
So the greatest common factor 1062,9277 is 1.
Lets's calculate LCM of 109,2546
Given numbers has no common factors except 1. So, there LCM is their product i.e 277514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/277514
Therefore, the GCF of Fractions 1062/109,9277/2546 is 1/277514
Least Common Multiple of 109,2546 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 109,2546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,2546) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,2546) x common factors =1 x 1 = 1
LCM(109,2546) = ( 109 × 2546 ) / 1
LCM(109,2546) = 277514 / 1
LCM(109,2546) = 277514
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FAQs on GCF of Fractions of 1062/109, 9277/2546
1. What is the HCF of 1062,9277?
The HCF of 1062,9277 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 1062/109, 9277/2546?
Answer: GCF of Numerators as per given numbers 1062/109, 9277/2546 is
GCF of Numerators i.e. for 1062,9277 is 1
LCM of denominators i.e. for 109,2546 is 277514.
Thus, GCF of Fractions is 1/277514.Finally, GCF of Fractions for 1062/109, 9277/2546 is 1/277514.