Use our free GCF of Fractions Calculator tool to compute the GCF of 175/901, 420/616 i.e 35/555016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 175/901, 420/616.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 175/901,420/616
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 175/901,420/616, numerators are 175,420
Denominators are 901,616
The GCF of 175,420 is 35 .
LCM of 901,616 is 555016.
The greatest common factor of 175/901,420/616 = [GCF of 175,420]/[LCM of 901,616]= 35/555016
Therefore, the GCF of 175/901,420/616 is 35/555016.
To find the highest common factor of 175,420, we have to find the factors of both numbers and list the highest common factor.
The factors of 175 are 1, 5, 7, 25, 35, 175
The factors of 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
The HCF of 175,420 is 35.
Lets's calculate GCF of 175,420
5 | 175, 420 |
7 | 35, 84 |
5, 12 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Now, list down the factors of 175
:1,5,7,25,35,175
Now, list down the factors of 420
:1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Greatest Common Factor
We found the factors 175,420 . The biggest common factor number is the GCF number.
So the greatest common factor 175,420 is 35.
Lets's calculate LCM of 901,616
Given numbers has no common factors except 1. So, there LCM is their product i.e 555016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/555016
Therefore, the GCF of Fractions 175/901,420/616 is 35/555016
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 901,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,616) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,616) x common factors =1 x 1 = 1
LCM(901,616) = ( 901 × 616 ) / 1
LCM(901,616) = 555016 / 1
LCM(901,616) = 555016
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 175,420?
The HCF of 175,420 is 35
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 175/901, 420/616?
Answer: GCF of Numerators as per given numbers 175/901, 420/616 is
GCF of Numerators i.e. for 175,420 is 35
LCM of denominators i.e. for 901,616 is 555016.
Thus, GCF of Fractions is 35/555016.Finally, GCF of Fractions for 175/901, 420/616 is 35/555016.