GCF of 710/625, 475/874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 710/625, 475/874 i.e 5/546250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 710/625, 475/874.
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 710/625,475/874?
Given fractions are 710/625,475/874
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 710/625,475/874, numerators are 710,475
Denominators are 625,874
The GCF of 710,475 is 5 .
LCM of 625,874 is 546250.
The greatest common factor of 710/625,475/874 = [GCF of 710,475]/[LCM of 625,874]= 5/546250
Therefore, the GCF of 710/625,475/874 is 5/546250.
To find the highest common factor of 710,475, 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 475 are 1, 5, 19, 25, 95, 475
The HCF of 710,475 is 5.
Lets's calculate GCF of 710,475
| 5 | 710, 475 |
| 142, 95 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 710,475 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 475
:1,5,19,25,95,475
Greatest Common Factor
We found the factors 710,475 . The biggest common factor number is the GCF number.
So the greatest common factor 710,475 is 5.
Lets's calculate LCM of 625,874
Given numbers has no common factors except 1. So, there LCM is their product i.e 546250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/546250
Therefore, the GCF of Fractions 710/625,475/874 is 5/546250
Least Common Multiple of 625,874 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 625,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(625,874) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(625,874) x common factors =1 x 1 = 1
LCM(625,874) = ( 625 × 874 ) / 1
LCM(625,874) = 546250 / 1
LCM(625,874) = 546250
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FAQs on GCF of Fractions of 710/625, 475/874
1. What is the HCF of 710,475?
The HCF of 710,475 is 5
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 710/625, 475/874?
Answer: GCF of Numerators as per given numbers 710/625, 475/874 is
GCF of Numerators i.e. for 710,475 is 5
LCM of denominators i.e. for 625,874 is 546250.
Thus, GCF of Fractions is 5/546250.Finally, GCF of Fractions for 710/625, 475/874 is 5/546250.