GCF of 3709/715, 2414/263
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3709/715, 2414/263 i.e 1/188045 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3709/715, 2414/263.
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 3709/715,2414/263?
Given fractions are 3709/715,2414/263
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 3709/715,2414/263, numerators are 3709,2414
Denominators are 715,263
The GCF of 3709,2414 is 1 .
LCM of 715,263 is 188045.
The greatest common factor of 3709/715,2414/263 = [GCF of 3709,2414]/[LCM of 715,263]= 1/188045
Therefore, the GCF of 3709/715,2414/263 is 1/188045.
To find the highest common factor of 3709,2414, we have to find the factors of both numbers and list the highest common factor.
The factors of 3709 are 1, 3709
The factors of 2414 are 1, 2, 17, 34, 71, 142, 1207, 2414
The HCF of 3709,2414 is 1.
Lets's calculate GCF of 3709,2414
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3709,2414 By Matching Biggest Common Factor Method
Now, list down the factors of 3709
:1,3709
Now, list down the factors of 2414
:1,2,17,34,71,142,1207,2414
Greatest Common Factor
We found the factors 3709,2414 . The biggest common factor number is the GCF number.
So the greatest common factor 3709,2414 is 1.
Lets's calculate LCM of 715,263
Given numbers has no common factors except 1. So, there LCM is their product i.e 188045
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188045
Therefore, the GCF of Fractions 3709/715,2414/263 is 1/188045
Least Common Multiple of 715,263 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 715,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(715,263) x common factors =1 x 1 = 1
LCM(715,263) = ( 715 × 263 ) / 1
LCM(715,263) = 188045 / 1
LCM(715,263) = 188045
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FAQs on GCF of Fractions of 3709/715, 2414/263
1. What is the HCF of 3709,2414?
The HCF of 3709,2414 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 3709/715, 2414/263?
Answer: GCF of Numerators as per given numbers 3709/715, 2414/263 is
GCF of Numerators i.e. for 3709,2414 is 1
LCM of denominators i.e. for 715,263 is 188045.
Thus, GCF of Fractions is 1/188045.Finally, GCF of Fractions for 3709/715, 2414/263 is 1/188045.