GCF of 2253/832, 3755/8071
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2253/832, 3755/8071 i.e 751/6715072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2253/832, 3755/8071.
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 2253/832,3755/8071?
Given fractions are 2253/832,3755/8071
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 2253/832,3755/8071, numerators are 2253,3755
Denominators are 832,8071
The GCF of 2253,3755 is 751 .
LCM of 832,8071 is 6715072.
The greatest common factor of 2253/832,3755/8071 = [GCF of 2253,3755]/[LCM of 832,8071]= 751/6715072
Therefore, the GCF of 2253/832,3755/8071 is 751/6715072.
To find the highest common factor of 2253,3755, we have to find the factors of both numbers and list the highest common factor.
The factors of 2253 are 1, 3, 751, 2253
The factors of 3755 are 1, 5, 751, 3755
The HCF of 2253,3755 is 751.
Lets's calculate GCF of 2253,3755
| 751 | 2253, 3755 |
| 3, 5 |
∴ So the GCF of the given numbers is 751 = 751
Greatest Common Factor of 2253,3755 By Matching Biggest Common Factor Method
Now, list down the factors of 2253
:1,3,751,2253
Now, list down the factors of 3755
:1,5,751,3755
Greatest Common Factor
We found the factors 2253,3755 . The biggest common factor number is the GCF number.
So the greatest common factor 2253,3755 is 751.
Lets's calculate LCM of 832,8071
Given numbers has no common factors except 1. So, there LCM is their product i.e 6715072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 751/6715072
Therefore, the GCF of Fractions 2253/832,3755/8071 is 751/6715072
Least Common Multiple of 832,8071 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 832,8071 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,8071) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(832,8071) x common factors =1 x 1 = 1
LCM(832,8071) = ( 832 × 8071 ) / 1
LCM(832,8071) = 6715072 / 1
LCM(832,8071) = 6715072
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FAQs on GCF of Fractions of 2253/832, 3755/8071
1. What is the HCF of 2253,3755?
The HCF of 2253,3755 is 751
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 2253/832, 3755/8071?
Answer: GCF of Numerators as per given numbers 2253/832, 3755/8071 is
GCF of Numerators i.e. for 2253,3755 is 751
LCM of denominators i.e. for 832,8071 is 6715072.
Thus, GCF of Fractions is 751/6715072.Finally, GCF of Fractions for 2253/832, 3755/8071 is 751/6715072.