GCF of 310/686, 598/893
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 310/686, 598/893 i.e 2/612598 easily. The following is the detailed procedure to determine the greatest common factor of fractions 310/686, 598/893.
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 310/686,598/893?
Given fractions are 310/686,598/893
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 310/686,598/893, numerators are 310,598
Denominators are 686,893
The GCF of 310,598 is 2 .
LCM of 686,893 is 612598.
The greatest common factor of 310/686,598/893 = [GCF of 310,598]/[LCM of 686,893]= 2/612598
Therefore, the GCF of 310/686,598/893 is 2/612598.
To find the highest common factor of 310,598, we have to find the factors of both numbers and list the highest common factor.
The factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310
The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598
The HCF of 310,598 is 2.
Lets's calculate GCF of 310,598
| 2 | 310, 598 |
| 155, 299 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 310,598 By Matching Biggest Common Factor Method
Now, list down the factors of 310
:1,2,5,10,31,62,155,310
Now, list down the factors of 598
:1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 310,598 . The biggest common factor number is the GCF number.
So the greatest common factor 310,598 is 2.
Lets's calculate LCM of 686,893
Given numbers has no common factors except 1. So, there LCM is their product i.e 612598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/612598
Therefore, the GCF of Fractions 310/686,598/893 is 2/612598
Least Common Multiple of 686,893 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 686,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(686,893) x common factors =1 x 1 = 1
LCM(686,893) = ( 686 × 893 ) / 1
LCM(686,893) = 612598 / 1
LCM(686,893) = 612598
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FAQs on GCF of Fractions of 310/686, 598/893
1. What is the HCF of 310,598?
The HCF of 310,598 is 2
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 310/686, 598/893?
Answer: GCF of Numerators as per given numbers 310/686, 598/893 is
GCF of Numerators i.e. for 310,598 is 2
LCM of denominators i.e. for 686,893 is 612598.
Thus, GCF of Fractions is 2/612598.Finally, GCF of Fractions for 310/686, 598/893 is 2/612598.