GCF of 457/865, 9614/844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 457/865, 9614/844 i.e 1/730060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 457/865, 9614/844.
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 457/865,9614/844?
Given fractions are 457/865,9614/844
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 457/865,9614/844, numerators are 457,9614
Denominators are 865,844
The GCF of 457,9614 is 1 .
LCM of 865,844 is 730060.
The greatest common factor of 457/865,9614/844 = [GCF of 457,9614]/[LCM of 865,844]= 1/730060
Therefore, the GCF of 457/865,9614/844 is 1/730060.
To find the highest common factor of 457,9614, we have to find the factors of both numbers and list the highest common factor.
The factors of 457 are 1, 457
The factors of 9614 are 1, 2, 11, 19, 22, 23, 38, 46, 209, 253, 418, 437, 506, 874, 4807, 9614
The HCF of 457,9614 is 1.
Lets's calculate GCF of 457,9614
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 457,9614 By Matching Biggest Common Factor Method
Now, list down the factors of 457
:1,457
Now, list down the factors of 9614
:1,2,11,19,22,23,38,46,209,253,418,437,506,874,4807,9614
Greatest Common Factor
We found the factors 457,9614 . The biggest common factor number is the GCF number.
So the greatest common factor 457,9614 is 1.
Lets's calculate LCM of 865,844
Given numbers has no common factors except 1. So, there LCM is their product i.e 730060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/730060
Therefore, the GCF of Fractions 457/865,9614/844 is 1/730060
Least Common Multiple of 865,844 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 865,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,844) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,844) x common factors =1 x 1 = 1
LCM(865,844) = ( 865 × 844 ) / 1
LCM(865,844) = 730060 / 1
LCM(865,844) = 730060
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FAQs on GCF of Fractions of 457/865, 9614/844
1. What is the HCF of 457,9614?
The HCF of 457,9614 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 457/865, 9614/844?
Answer: GCF of Numerators as per given numbers 457/865, 9614/844 is
GCF of Numerators i.e. for 457,9614 is 1
LCM of denominators i.e. for 865,844 is 730060.
Thus, GCF of Fractions is 1/730060.Finally, GCF of Fractions for 457/865, 9614/844 is 1/730060.