GCF of 1465/794, 2174/2375
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1465/794, 2174/2375 i.e 1/1885750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1465/794, 2174/2375.
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 1465/794,2174/2375?
Given fractions are 1465/794,2174/2375
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 1465/794,2174/2375, numerators are 1465,2174
Denominators are 794,2375
The GCF of 1465,2174 is 1 .
LCM of 794,2375 is 1885750.
The greatest common factor of 1465/794,2174/2375 = [GCF of 1465,2174]/[LCM of 794,2375]= 1/1885750
Therefore, the GCF of 1465/794,2174/2375 is 1/1885750.
To find the highest common factor of 1465,2174, we have to find the factors of both numbers and list the highest common factor.
The factors of 1465 are 1, 5, 293, 1465
The factors of 2174 are 1, 2, 1087, 2174
The HCF of 1465,2174 is 1.
Lets's calculate GCF of 1465,2174
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1465,2174 By Matching Biggest Common Factor Method
Now, list down the factors of 1465
:1,5,293,1465
Now, list down the factors of 2174
:1,2,1087,2174
Greatest Common Factor
We found the factors 1465,2174 . The biggest common factor number is the GCF number.
So the greatest common factor 1465,2174 is 1.
Lets's calculate LCM of 794,2375
Given numbers has no common factors except 1. So, there LCM is their product i.e 1885750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1885750
Therefore, the GCF of Fractions 1465/794,2174/2375 is 1/1885750
Least Common Multiple of 794,2375 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 794,2375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(794,2375) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(794,2375) x common factors =1 x 1 = 1
LCM(794,2375) = ( 794 × 2375 ) / 1
LCM(794,2375) = 1885750 / 1
LCM(794,2375) = 1885750
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FAQs on GCF of Fractions of 1465/794, 2174/2375
1. What is the HCF of 1465,2174?
The HCF of 1465,2174 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 1465/794, 2174/2375?
Answer: GCF of Numerators as per given numbers 1465/794, 2174/2375 is
GCF of Numerators i.e. for 1465,2174 is 1
LCM of denominators i.e. for 794,2375 is 1885750.
Thus, GCF of Fractions is 1/1885750.Finally, GCF of Fractions for 1465/794, 2174/2375 is 1/1885750.