GCF of 8347/424, 2812/713
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8347/424, 2812/713 i.e 1/302312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8347/424, 2812/713.
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 8347/424,2812/713?
Given fractions are 8347/424,2812/713
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 8347/424,2812/713, numerators are 8347,2812
Denominators are 424,713
The GCF of 8347,2812 is 1 .
LCM of 424,713 is 302312.
The greatest common factor of 8347/424,2812/713 = [GCF of 8347,2812]/[LCM of 424,713]= 1/302312
Therefore, the GCF of 8347/424,2812/713 is 1/302312.
To find the highest common factor of 8347,2812, we have to find the factors of both numbers and list the highest common factor.
The factors of 8347 are 1, 17, 491, 8347
The factors of 2812 are 1, 2, 4, 19, 37, 38, 74, 76, 148, 703, 1406, 2812
The HCF of 8347,2812 is 1.
Lets's calculate GCF of 8347,2812
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8347,2812 By Matching Biggest Common Factor Method
Now, list down the factors of 8347
:1,17,491,8347
Now, list down the factors of 2812
:1,2,4,19,37,38,74,76,148,703,1406,2812
Greatest Common Factor
We found the factors 8347,2812 . The biggest common factor number is the GCF number.
So the greatest common factor 8347,2812 is 1.
Lets's calculate LCM of 424,713
Given numbers has no common factors except 1. So, there LCM is their product i.e 302312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/302312
Therefore, the GCF of Fractions 8347/424,2812/713 is 1/302312
Least Common Multiple of 424,713 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 424,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,713) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(424,713) x common factors =1 x 1 = 1
LCM(424,713) = ( 424 × 713 ) / 1
LCM(424,713) = 302312 / 1
LCM(424,713) = 302312
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FAQs on GCF of Fractions of 8347/424, 2812/713
1. What is the HCF of 8347,2812?
The HCF of 8347,2812 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 8347/424, 2812/713?
Answer: GCF of Numerators as per given numbers 8347/424, 2812/713 is
GCF of Numerators i.e. for 8347,2812 is 1
LCM of denominators i.e. for 424,713 is 302312.
Thus, GCF of Fractions is 1/302312.Finally, GCF of Fractions for 8347/424, 2812/713 is 1/302312.