GCF of 6271/112, 7550/505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6271/112, 7550/505 i.e 1/56560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6271/112, 7550/505.
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 6271/112,7550/505?
Given fractions are 6271/112,7550/505
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 6271/112,7550/505, numerators are 6271,7550
Denominators are 112,505
The GCF of 6271,7550 is 1 .
LCM of 112,505 is 56560.
The greatest common factor of 6271/112,7550/505 = [GCF of 6271,7550]/[LCM of 112,505]= 1/56560
Therefore, the GCF of 6271/112,7550/505 is 1/56560.
To find the highest common factor of 6271,7550, we have to find the factors of both numbers and list the highest common factor.
The factors of 6271 are 1, 6271
The factors of 7550 are 1, 2, 5, 10, 25, 50, 151, 302, 755, 1510, 3775, 7550
The HCF of 6271,7550 is 1.
Lets's calculate GCF of 6271,7550
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6271,7550 By Matching Biggest Common Factor Method
Now, list down the factors of 6271
:1,6271
Now, list down the factors of 7550
:1,2,5,10,25,50,151,302,755,1510,3775,7550
Greatest Common Factor
We found the factors 6271,7550 . The biggest common factor number is the GCF number.
So the greatest common factor 6271,7550 is 1.
Lets's calculate LCM of 112,505
Given numbers has no common factors except 1. So, there LCM is their product i.e 56560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56560
Therefore, the GCF of Fractions 6271/112,7550/505 is 1/56560
Least Common Multiple of 112,505 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 112,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(112,505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(112,505) x common factors =1 x 1 = 1
LCM(112,505) = ( 112 × 505 ) / 1
LCM(112,505) = 56560 / 1
LCM(112,505) = 56560
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FAQs on GCF of Fractions of 6271/112, 7550/505
1. What is the HCF of 6271,7550?
The HCF of 6271,7550 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 6271/112, 7550/505?
Answer: GCF of Numerators as per given numbers 6271/112, 7550/505 is
GCF of Numerators i.e. for 6271,7550 is 1
LCM of denominators i.e. for 112,505 is 56560.
Thus, GCF of Fractions is 1/56560.Finally, GCF of Fractions for 6271/112, 7550/505 is 1/56560.