GCF of 7257/167, 2374/6692
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7257/167, 2374/6692 i.e 1/1117564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7257/167, 2374/6692.
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 7257/167,2374/6692?
Given fractions are 7257/167,2374/6692
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 7257/167,2374/6692, numerators are 7257,2374
Denominators are 167,6692
The GCF of 7257,2374 is 1 .
LCM of 167,6692 is 1117564.
The greatest common factor of 7257/167,2374/6692 = [GCF of 7257,2374]/[LCM of 167,6692]= 1/1117564
Therefore, the GCF of 7257/167,2374/6692 is 1/1117564.
To find the highest common factor of 7257,2374, we have to find the factors of both numbers and list the highest common factor.
The factors of 7257 are 1, 3, 41, 59, 123, 177, 2419, 7257
The factors of 2374 are 1, 2, 1187, 2374
The HCF of 7257,2374 is 1.
Lets's calculate GCF of 7257,2374
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7257,2374 By Matching Biggest Common Factor Method
Now, list down the factors of 7257
:1,3,41,59,123,177,2419,7257
Now, list down the factors of 2374
:1,2,1187,2374
Greatest Common Factor
We found the factors 7257,2374 . The biggest common factor number is the GCF number.
So the greatest common factor 7257,2374 is 1.
Lets's calculate LCM of 167,6692
Given numbers has no common factors except 1. So, there LCM is their product i.e 1117564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1117564
Therefore, the GCF of Fractions 7257/167,2374/6692 is 1/1117564
Least Common Multiple of 167,6692 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 167,6692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(167,6692) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(167,6692) x common factors =1 x 1 = 1
LCM(167,6692) = ( 167 × 6692 ) / 1
LCM(167,6692) = 1117564 / 1
LCM(167,6692) = 1117564
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FAQs on GCF of Fractions of 7257/167, 2374/6692
1. What is the HCF of 7257,2374?
The HCF of 7257,2374 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 7257/167, 2374/6692?
Answer: GCF of Numerators as per given numbers 7257/167, 2374/6692 is
GCF of Numerators i.e. for 7257,2374 is 1
LCM of denominators i.e. for 167,6692 is 1117564.
Thus, GCF of Fractions is 1/1117564.Finally, GCF of Fractions for 7257/167, 2374/6692 is 1/1117564.