GCF of 707/200, 518/193
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 707/200, 518/193 i.e 7/38600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 707/200, 518/193.
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 707/200,518/193?
Given fractions are 707/200,518/193
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 707/200,518/193, numerators are 707,518
Denominators are 200,193
The GCF of 707,518 is 7 .
LCM of 200,193 is 38600.
The greatest common factor of 707/200,518/193 = [GCF of 707,518]/[LCM of 200,193]= 7/38600
Therefore, the GCF of 707/200,518/193 is 7/38600.
To find the highest common factor of 707,518, we have to find the factors of both numbers and list the highest common factor.
The factors of 707 are 1, 7, 101, 707
The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518
The HCF of 707,518 is 7.
Lets's calculate GCF of 707,518
| 7 | 707, 518 |
| 101, 74 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 707,518 By Matching Biggest Common Factor Method
Now, list down the factors of 707
:1,7,101,707
Now, list down the factors of 518
:1,2,7,14,37,74,259,518
Greatest Common Factor
We found the factors 707,518 . The biggest common factor number is the GCF number.
So the greatest common factor 707,518 is 7.
Lets's calculate LCM of 200,193
Given numbers has no common factors except 1. So, there LCM is their product i.e 38600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/38600
Therefore, the GCF of Fractions 707/200,518/193 is 7/38600
Least Common Multiple of 200,193 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 200,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(200,193) x common factors =1 x 1 = 1
LCM(200,193) = ( 200 × 193 ) / 1
LCM(200,193) = 38600 / 1
LCM(200,193) = 38600
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FAQs on GCF of Fractions of 707/200, 518/193
1. What is the HCF of 707,518?
The HCF of 707,518 is 7
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 707/200, 518/193?
Answer: GCF of Numerators as per given numbers 707/200, 518/193 is
GCF of Numerators i.e. for 707,518 is 7
LCM of denominators i.e. for 200,193 is 38600.
Thus, GCF of Fractions is 7/38600.Finally, GCF of Fractions for 707/200, 518/193 is 7/38600.