GCF of 758/712, 743/982
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 758/712, 743/982 i.e 1/349592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 758/712, 743/982.
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 758/712,743/982?
Given fractions are 758/712,743/982
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 758/712,743/982, numerators are 758,743
Denominators are 712,982
The GCF of 758,743 is 1 .
LCM of 712,982 is 349592.
The greatest common factor of 758/712,743/982 = [GCF of 758,743]/[LCM of 712,982]= 1/349592
Therefore, the GCF of 758/712,743/982 is 1/349592.
To find the highest common factor of 758,743, 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 743 are 1, 743
The HCF of 758,743 is 1.
Lets's calculate GCF of 758,743
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 758,743 By Matching Biggest Common Factor Method
Now, list down the factors of 758
:1,2,379,758
Now, list down the factors of 743
:1,743
Greatest Common Factor
We found the factors 758,743 . The biggest common factor number is the GCF number.
So the greatest common factor 758,743 is 1.
Lets's calculate LCM of 712,982
| 2 | 712, 982 |
| 356, 491 |
∴ So the LCM of the given numbers is 2 x 356 x 491 = 349592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/349592
Therefore, the GCF of Fractions 758/712,743/982 is 1/349592
Least Common Multiple of 712,982 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 712,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(712,982) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(712,982) x common factors =2 x 1 = 2
LCM(712,982) = ( 712 × 982 ) / 2
LCM(712,982) = 699184 / 2
LCM(712,982) = 349592
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FAQs on GCF of Fractions of 758/712, 743/982
1. What is the HCF of 758,743?
The HCF of 758,743 is 1
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 758/712, 743/982?
Answer: GCF of Numerators as per given numbers 758/712, 743/982 is
GCF of Numerators i.e. for 758,743 is 1
LCM of denominators i.e. for 712,982 is 349592.
Thus, GCF of Fractions is 1/349592.Finally, GCF of Fractions for 758/712, 743/982 is 1/349592.