GCF of 813/51, 752/598
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 813/51, 752/598 i.e 1/30498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 813/51, 752/598.
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 813/51,752/598?
Given fractions are 813/51,752/598
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 813/51,752/598, numerators are 813,752
Denominators are 51,598
The GCF of 813,752 is 1 .
LCM of 51,598 is 30498.
The greatest common factor of 813/51,752/598 = [GCF of 813,752]/[LCM of 51,598]= 1/30498
Therefore, the GCF of 813/51,752/598 is 1/30498.
To find the highest common factor of 813,752, we have to find the factors of both numbers and list the highest common factor.
The factors of 813 are 1, 3, 271, 813
The factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
The HCF of 813,752 is 1.
Lets's calculate GCF of 813,752
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 813,752 By Matching Biggest Common Factor Method
Now, list down the factors of 813
:1,3,271,813
Now, list down the factors of 752
:1,2,4,8,16,47,94,188,376,752
Greatest Common Factor
We found the factors 813,752 . The biggest common factor number is the GCF number.
So the greatest common factor 813,752 is 1.
Lets's calculate LCM of 51,598
Given numbers has no common factors except 1. So, there LCM is their product i.e 30498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30498
Therefore, the GCF of Fractions 813/51,752/598 is 1/30498
Least Common Multiple of 51,598 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 51,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,598) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,598) x common factors =1 x 1 = 1
LCM(51,598) = ( 51 × 598 ) / 1
LCM(51,598) = 30498 / 1
LCM(51,598) = 30498
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FAQs on GCF of Fractions of 813/51, 752/598
1. What is the HCF of 813,752?
The HCF of 813,752 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 813/51, 752/598?
Answer: GCF of Numerators as per given numbers 813/51, 752/598 is
GCF of Numerators i.e. for 813,752 is 1
LCM of denominators i.e. for 51,598 is 30498.
Thus, GCF of Fractions is 1/30498.Finally, GCF of Fractions for 813/51, 752/598 is 1/30498.