GCF of 674/140, 1708/8473
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 674/140, 1708/8473 i.e 2/1186220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 674/140, 1708/8473.
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 674/140,1708/8473?
Given fractions are 674/140,1708/8473
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 674/140,1708/8473, numerators are 674,1708
Denominators are 140,8473
The GCF of 674,1708 is 2 .
LCM of 140,8473 is 1186220.
The greatest common factor of 674/140,1708/8473 = [GCF of 674,1708]/[LCM of 140,8473]= 2/1186220
Therefore, the GCF of 674/140,1708/8473 is 2/1186220.
To find the highest common factor of 674,1708, we have to find the factors of both numbers and list the highest common factor.
The factors of 674 are 1, 2, 337, 674
The factors of 1708 are 1, 2, 4, 7, 14, 28, 61, 122, 244, 427, 854, 1708
The HCF of 674,1708 is 2.
Lets's calculate GCF of 674,1708
| 2 | 674, 1708 |
| 337, 854 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 674,1708 By Matching Biggest Common Factor Method
Now, list down the factors of 674
:1,2,337,674
Now, list down the factors of 1708
:1,2,4,7,14,28,61,122,244,427,854,1708
Greatest Common Factor
We found the factors 674,1708 . The biggest common factor number is the GCF number.
So the greatest common factor 674,1708 is 2.
Lets's calculate LCM of 140,8473
Given numbers has no common factors except 1. So, there LCM is their product i.e 1186220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1186220
Therefore, the GCF of Fractions 674/140,1708/8473 is 2/1186220
Least Common Multiple of 140,8473 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 140,8473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,8473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(140,8473) x common factors =1 x 1 = 1
LCM(140,8473) = ( 140 × 8473 ) / 1
LCM(140,8473) = 1186220 / 1
LCM(140,8473) = 1186220
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 674/140, 1708/8473
1. What is the HCF of 674,1708?
The HCF of 674,1708 is 2
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 674/140, 1708/8473?
Answer: GCF of Numerators as per given numbers 674/140, 1708/8473 is
GCF of Numerators i.e. for 674,1708 is 2
LCM of denominators i.e. for 140,8473 is 1186220.
Thus, GCF of Fractions is 2/1186220.Finally, GCF of Fractions for 674/140, 1708/8473 is 2/1186220.