GCF of 1736/711, 1432/674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1736/711, 1432/674 i.e 8/479214 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1736/711, 1432/674.
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 1736/711,1432/674?
Given fractions are 1736/711,1432/674
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 1736/711,1432/674, numerators are 1736,1432
Denominators are 711,674
The GCF of 1736,1432 is 8 .
LCM of 711,674 is 479214.
The greatest common factor of 1736/711,1432/674 = [GCF of 1736,1432]/[LCM of 711,674]= 8/479214
Therefore, the GCF of 1736/711,1432/674 is 8/479214.
To find the highest common factor of 1736,1432, we have to find the factors of both numbers and list the highest common factor.
The factors of 1736 are 1, 2, 4, 7, 8, 14, 28, 31, 56, 62, 124, 217, 248, 434, 868, 1736
The factors of 1432 are 1, 2, 4, 8, 179, 358, 716, 1432
The HCF of 1736,1432 is 8.
Lets's calculate GCF of 1736,1432
| 2 | 1736, 1432 |
| 2 | 868, 716 |
| 2 | 434, 358 |
| 217, 179 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 1736,1432 By Matching Biggest Common Factor Method
Now, list down the factors of 1736
:1,2,4,7,8,14,28,31,56,62,124,217,248,434,868,1736
Now, list down the factors of 1432
:1,2,4,8,179,358,716,1432
Greatest Common Factor
We found the factors 1736,1432 . The biggest common factor number is the GCF number.
So the greatest common factor 1736,1432 is 8.
Lets's calculate LCM of 711,674
Given numbers has no common factors except 1. So, there LCM is their product i.e 479214
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/479214
Therefore, the GCF of Fractions 1736/711,1432/674 is 8/479214
Least Common Multiple of 711,674 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 711,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,674) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(711,674) x common factors =1 x 1 = 1
LCM(711,674) = ( 711 × 674 ) / 1
LCM(711,674) = 479214 / 1
LCM(711,674) = 479214
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1736/711, 1432/674
1. What is the HCF of 1736,1432?
The HCF of 1736,1432 is 8
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 1736/711, 1432/674?
Answer: GCF of Numerators as per given numbers 1736/711, 1432/674 is
GCF of Numerators i.e. for 1736,1432 is 8
LCM of denominators i.e. for 711,674 is 479214.
Thus, GCF of Fractions is 8/479214.Finally, GCF of Fractions for 1736/711, 1432/674 is 8/479214.