GCF of 758/670, 432/723
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 758/670, 432/723 i.e 2/484410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 758/670, 432/723.
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 758/670,432/723?
Given fractions are 758/670,432/723
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 758/670,432/723, numerators are 758,432
Denominators are 670,723
The GCF of 758,432 is 2 .
LCM of 670,723 is 484410.
The greatest common factor of 758/670,432/723 = [GCF of 758,432]/[LCM of 670,723]= 2/484410
Therefore, the GCF of 758/670,432/723 is 2/484410.
To find the highest common factor of 758,432, we have to find the factors of both numbers and list the highest common factor.
The factors of 758 are 1, 2, 379, 758
The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
The HCF of 758,432 is 2.
Lets's calculate GCF of 758,432
| 2 | 758, 432 |
| 379, 216 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 758,432 By Matching Biggest Common Factor Method
Now, list down the factors of 758
:1,2,379,758
Now, list down the factors of 432
:1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Greatest Common Factor
We found the factors 758,432 . The biggest common factor number is the GCF number.
So the greatest common factor 758,432 is 2.
Lets's calculate LCM of 670,723
Given numbers has no common factors except 1. So, there LCM is their product i.e 484410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/484410
Therefore, the GCF of Fractions 758/670,432/723 is 2/484410
Least Common Multiple of 670,723 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 670,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,723) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(670,723) x common factors =1 x 1 = 1
LCM(670,723) = ( 670 × 723 ) / 1
LCM(670,723) = 484410 / 1
LCM(670,723) = 484410
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FAQs on GCF of Fractions of 758/670, 432/723
1. What is the HCF of 758,432?
The HCF of 758,432 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 758/670, 432/723?
Answer: GCF of Numerators as per given numbers 758/670, 432/723 is
GCF of Numerators i.e. for 758,432 is 2
LCM of denominators i.e. for 670,723 is 484410.
Thus, GCF of Fractions is 2/484410.Finally, GCF of Fractions for 758/670, 432/723 is 2/484410.