GCF of 758/687, 649/458
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 758/687, 649/458 i.e 1/1374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 758/687, 649/458.
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 758/687,649/458?
Given fractions are 758/687,649/458
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 758/687,649/458, numerators are 758,649
Denominators are 687,458
The GCF of 758,649 is 1 .
LCM of 687,458 is 1374.
The greatest common factor of 758/687,649/458 = [GCF of 758,649]/[LCM of 687,458]= 1/1374
Therefore, the GCF of 758/687,649/458 is 1/1374.
To find the highest common factor of 758,649, 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 649 are 1, 11, 59, 649
The HCF of 758,649 is 1.
Lets's calculate GCF of 758,649
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 758,649 By Matching Biggest Common Factor Method
Now, list down the factors of 758
:1,2,379,758
Now, list down the factors of 649
:1,11,59,649
Greatest Common Factor
We found the factors 758,649 . The biggest common factor number is the GCF number.
So the greatest common factor 758,649 is 1.
Lets's calculate LCM of 687,458
| 229 | 687, 458 |
| 3, 2 |
∴ So the LCM of the given numbers is 229 x 3 x 2 = 1374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1374
Therefore, the GCF of Fractions 758/687,649/458 is 1/1374
Least Common Multiple of 687,458 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 687,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,458) = 229
common factors(in case of two or more numbers have common factors) = 1
GCF(687,458) x common factors =229 x 1 = 229
LCM(687,458) = ( 687 × 458 ) / 229
LCM(687,458) = 314646 / 229
LCM(687,458) = 1374
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FAQs on GCF of Fractions of 758/687, 649/458
1. What is the HCF of 758,649?
The HCF of 758,649 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 758/687, 649/458?
Answer: GCF of Numerators as per given numbers 758/687, 649/458 is
GCF of Numerators i.e. for 758,649 is 1
LCM of denominators i.e. for 687,458 is 1374.
Thus, GCF of Fractions is 1/1374.Finally, GCF of Fractions for 758/687, 649/458 is 1/1374.