GCF of 758/518, 671/693
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 758/518, 671/693 i.e 1/51282 easily. The following is the detailed procedure to determine the greatest common factor of fractions 758/518, 671/693.
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 758/518,671/693?
Given fractions are 758/518,671/693
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 758/518,671/693, numerators are 758,671
Denominators are 518,693
The GCF of 758,671 is 1 .
LCM of 518,693 is 51282.
The greatest common factor of 758/518,671/693 = [GCF of 758,671]/[LCM of 518,693]= 1/51282
Therefore, the GCF of 758/518,671/693 is 1/51282.
To find the highest common factor of 758,671, 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 671 are 1, 11, 61, 671
The HCF of 758,671 is 1.
Lets's calculate GCF of 758,671
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 758,671 By Matching Biggest Common Factor Method
Now, list down the factors of 758
:1,2,379,758
Now, list down the factors of 671
:1,11,61,671
Greatest Common Factor
We found the factors 758,671 . The biggest common factor number is the GCF number.
So the greatest common factor 758,671 is 1.
Lets's calculate LCM of 518,693
| 7 | 518, 693 |
| 74, 99 |
∴ So the LCM of the given numbers is 7 x 74 x 99 = 51282
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51282
Therefore, the GCF of Fractions 758/518,671/693 is 1/51282
Least Common Multiple of 518,693 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 518,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,693) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(518,693) x common factors =7 x 1 = 7
LCM(518,693) = ( 518 × 693 ) / 7
LCM(518,693) = 358974 / 7
LCM(518,693) = 51282
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FAQs on GCF of Fractions of 758/518, 671/693
1. What is the HCF of 758,671?
The HCF of 758,671 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 758/518, 671/693?
Answer: GCF of Numerators as per given numbers 758/518, 671/693 is
GCF of Numerators i.e. for 758,671 is 1
LCM of denominators i.e. for 518,693 is 51282.
Thus, GCF of Fractions is 1/51282.Finally, GCF of Fractions for 758/518, 671/693 is 1/51282.