GCF of 1740/64, 2117/957
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1740/64, 2117/957 i.e 29/61248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1740/64, 2117/957.
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 1740/64,2117/957?
Given fractions are 1740/64,2117/957
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 1740/64,2117/957, numerators are 1740,2117
Denominators are 64,957
The GCF of 1740,2117 is 29 .
LCM of 64,957 is 61248.
The greatest common factor of 1740/64,2117/957 = [GCF of 1740,2117]/[LCM of 64,957]= 29/61248
Therefore, the GCF of 1740/64,2117/957 is 29/61248.
To find the highest common factor of 1740,2117, we have to find the factors of both numbers and list the highest common factor.
The factors of 1740 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 58, 60, 87, 116, 145, 174, 290, 348, 435, 580, 870, 1740
The factors of 2117 are 1, 29, 73, 2117
The HCF of 1740,2117 is 29.
Lets's calculate GCF of 1740,2117
| 29 | 1740, 2117 |
| 60, 73 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 1740,2117 By Matching Biggest Common Factor Method
Now, list down the factors of 1740
:1,2,3,4,5,6,10,12,15,20,29,30,58,60,87,116,145,174,290,348,435,580,870,1740
Now, list down the factors of 2117
:1,29,73,2117
Greatest Common Factor
We found the factors 1740,2117 . The biggest common factor number is the GCF number.
So the greatest common factor 1740,2117 is 29.
Lets's calculate LCM of 64,957
Given numbers has no common factors except 1. So, there LCM is their product i.e 61248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/61248
Therefore, the GCF of Fractions 1740/64,2117/957 is 29/61248
Least Common Multiple of 64,957 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 64,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,957) x common factors =1 x 1 = 1
LCM(64,957) = ( 64 × 957 ) / 1
LCM(64,957) = 61248 / 1
LCM(64,957) = 61248
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1740/64, 2117/957
1. What is the HCF of 1740,2117?
The HCF of 1740,2117 is 29
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 1740/64, 2117/957?
Answer: GCF of Numerators as per given numbers 1740/64, 2117/957 is
GCF of Numerators i.e. for 1740,2117 is 29
LCM of denominators i.e. for 64,957 is 61248.
Thus, GCF of Fractions is 29/61248.Finally, GCF of Fractions for 1740/64, 2117/957 is 29/61248.