GCF of 9527/389, 7029/277
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9527/389, 7029/277 i.e 1/107753 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9527/389, 7029/277.
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 9527/389,7029/277?
Given fractions are 9527/389,7029/277
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 9527/389,7029/277, numerators are 9527,7029
Denominators are 389,277
The GCF of 9527,7029 is 1 .
LCM of 389,277 is 107753.
The greatest common factor of 9527/389,7029/277 = [GCF of 9527,7029]/[LCM of 389,277]= 1/107753
Therefore, the GCF of 9527/389,7029/277 is 1/107753.
To find the highest common factor of 9527,7029, we have to find the factors of both numbers and list the highest common factor.
The factors of 9527 are 1, 7, 1361, 9527
The factors of 7029 are 1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343, 7029
The HCF of 9527,7029 is 1.
Lets's calculate GCF of 9527,7029
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9527,7029 By Matching Biggest Common Factor Method
Now, list down the factors of 9527
:1,7,1361,9527
Now, list down the factors of 7029
:1,3,9,11,33,71,99,213,639,781,2343,7029
Greatest Common Factor
We found the factors 9527,7029 . The biggest common factor number is the GCF number.
So the greatest common factor 9527,7029 is 1.
Lets's calculate LCM of 389,277
Given numbers has no common factors except 1. So, there LCM is their product i.e 107753
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107753
Therefore, the GCF of Fractions 9527/389,7029/277 is 1/107753
Least Common Multiple of 389,277 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 389,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,277) x common factors =1 x 1 = 1
LCM(389,277) = ( 389 × 277 ) / 1
LCM(389,277) = 107753 / 1
LCM(389,277) = 107753
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FAQs on GCF of Fractions of 9527/389, 7029/277
1. What is the HCF of 9527,7029?
The HCF of 9527,7029 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 9527/389, 7029/277?
Answer: GCF of Numerators as per given numbers 9527/389, 7029/277 is
GCF of Numerators i.e. for 9527,7029 is 1
LCM of denominators i.e. for 389,277 is 107753.
Thus, GCF of Fractions is 1/107753.Finally, GCF of Fractions for 9527/389, 7029/277 is 1/107753.