GCF of 698/157, 510/225, 525/569
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 698/157, 510/225, 525/569 i.e 1/20099925 easily. The following is the detailed procedure to determine the greatest common factor of fractions 698/157, 510/225, 525/569.
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 698/157,510/225,525/569?
Given fractions are 698/157,510/225,525/569
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 698/157,510/225,525/569, numerators are 698,510,525
Denominators are 157,225,569
The GCF of 698,510,525 is 1 .
LCM of 157,225,569 is 20099925.
The greatest common factor of 698/157,510/225,525/569 = [GCF of 698,510,525]/[LCM of 157,225,569]= 1/20099925
Therefore, the GCF of 698/157,510/225,525/569 is 1/20099925.
To find the highest common factor of 698,510,525, we have to find the factors of both numbers and list the highest common factor.
The factors of 698 are 1, 2, 349, 698
The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
The factors of 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
The HCF of 698,510,525 is 1.
Lets's calculate GCF of 698,510,525
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 698,510,525 By Matching Biggest Common Factor Method
Now, list down the factors of 698
:1,2,349,698
Now, list down the factors of 510
:1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Now, list down the factors of 525
:1,3,5,7,15,21,25,35,75,105,175,525
Greatest Common Factor
We found the factors 698,510,525 . The biggest common factor number is the GCF number.
So the greatest common factor 698,510,525 is 1.
Lets's calculate LCM of 157,225,569
Given numbers has no common factors except 1. So, there LCM is their product i.e 20099925
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20099925
Therefore, the GCF of Fractions 698/157,510/225,525/569 is 1/20099925
Least Common Multiple of 157,225,569 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 157,225,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,225,569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,225,569) x common factors =1 x 1 = 1
LCM(157,225,569) = ( 157 × 225 × 569 ) / 1
LCM(157,225,569) = 20099925 / 1
LCM(157,225,569) = 20099925
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 698/157, 510/225, 525/569
1. What is the HCF of 698,510,525?
The HCF of 698,510,525 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 698/157, 510/225, 525/569?
Answer: GCF of Numerators as per given numbers 698/157, 510/225, 525/569 is
GCF of Numerators i.e. for 698,510,525 is 1
LCM of denominators i.e. for 157,225,569 is 20099925.
Thus, GCF of Fractions is 1/20099925.Finally, GCF of Fractions for 698/157, 510/225, 525/569 is 1/20099925.