GCF of 710/50, 603/854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 710/50, 603/854 i.e 1/21350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 710/50, 603/854.
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 710/50,603/854?
Given fractions are 710/50,603/854
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 710/50,603/854, numerators are 710,603
Denominators are 50,854
The GCF of 710,603 is 1 .
LCM of 50,854 is 21350.
The greatest common factor of 710/50,603/854 = [GCF of 710,603]/[LCM of 50,854]= 1/21350
Therefore, the GCF of 710/50,603/854 is 1/21350.
To find the highest common factor of 710,603, we have to find the factors of both numbers and list the highest common factor.
The factors of 710 are 1, 2, 5, 10, 71, 142, 355, 710
The factors of 603 are 1, 3, 9, 67, 201, 603
The HCF of 710,603 is 1.
Lets's calculate GCF of 710,603
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 710,603 By Matching Biggest Common Factor Method
Now, list down the factors of 710
:1,2,5,10,71,142,355,710
Now, list down the factors of 603
:1,3,9,67,201,603
Greatest Common Factor
We found the factors 710,603 . The biggest common factor number is the GCF number.
So the greatest common factor 710,603 is 1.
Lets's calculate LCM of 50,854
| 2 | 50, 854 |
| 25, 427 |
∴ So the LCM of the given numbers is 2 x 25 x 427 = 21350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21350
Therefore, the GCF of Fractions 710/50,603/854 is 1/21350
Least Common Multiple of 50,854 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 50,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,854) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(50,854) x common factors =2 x 1 = 2
LCM(50,854) = ( 50 × 854 ) / 2
LCM(50,854) = 42700 / 2
LCM(50,854) = 21350
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FAQs on GCF of Fractions of 710/50, 603/854
1. What is the HCF of 710,603?
The HCF of 710,603 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 710/50, 603/854?
Answer: GCF of Numerators as per given numbers 710/50, 603/854 is
GCF of Numerators i.e. for 710,603 is 1
LCM of denominators i.e. for 50,854 is 21350.
Thus, GCF of Fractions is 1/21350.Finally, GCF of Fractions for 710/50, 603/854 is 1/21350.