GCF of 3550/149, 8520/866
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3550/149, 8520/866 i.e 710/129034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3550/149, 8520/866.
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 3550/149,8520/866?
Given fractions are 3550/149,8520/866
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 3550/149,8520/866, numerators are 3550,8520
Denominators are 149,866
The GCF of 3550,8520 is 710 .
LCM of 149,866 is 129034.
The greatest common factor of 3550/149,8520/866 = [GCF of 3550,8520]/[LCM of 149,866]= 710/129034
Therefore, the GCF of 3550/149,8520/866 is 710/129034.
To find the highest common factor of 3550,8520, we have to find the factors of both numbers and list the highest common factor.
The factors of 3550 are 1, 2, 5, 10, 25, 50, 71, 142, 355, 710, 1775, 3550
The factors of 8520 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 71, 120, 142, 213, 284, 355, 426, 568, 710, 852, 1065, 1420, 1704, 2130, 2840, 4260, 8520
The HCF of 3550,8520 is 710.
Lets's calculate GCF of 3550,8520
| 2 | 3550, 8520 |
| 5 | 1775, 4260 |
| 71 | 355, 852 |
| 5, 12 |
∴ So the GCF of the given numbers is 2 x 5 x 71 = 710
Greatest Common Factor of 3550,8520 By Matching Biggest Common Factor Method
Now, list down the factors of 3550
:1,2,5,10,25,50,71,142,355,710,1775,3550
Now, list down the factors of 8520
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,71,120,142,213,284,355,426,568,710,852,1065,1420,1704,2130,2840,4260,8520
Greatest Common Factor
We found the factors 3550,8520 . The biggest common factor number is the GCF number.
So the greatest common factor 3550,8520 is 710.
Lets's calculate LCM of 149,866
Given numbers has no common factors except 1. So, there LCM is their product i.e 129034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 710/129034
Therefore, the GCF of Fractions 3550/149,8520/866 is 710/129034
Least Common Multiple of 149,866 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 149,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,866) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,866) x common factors =1 x 1 = 1
LCM(149,866) = ( 149 × 866 ) / 1
LCM(149,866) = 129034 / 1
LCM(149,866) = 129034
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3550/149, 8520/866
1. What is the HCF of 3550,8520?
The HCF of 3550,8520 is 710
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 3550/149, 8520/866?
Answer: GCF of Numerators as per given numbers 3550/149, 8520/866 is
GCF of Numerators i.e. for 3550,8520 is 710
LCM of denominators i.e. for 149,866 is 129034.
Thus, GCF of Fractions is 710/129034.Finally, GCF of Fractions for 3550/149, 8520/866 is 710/129034.