GCF of 5650/171, 7345/6994
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5650/171, 7345/6994 i.e 565/1195974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5650/171, 7345/6994.
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 5650/171,7345/6994?
Given fractions are 5650/171,7345/6994
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 5650/171,7345/6994, numerators are 5650,7345
Denominators are 171,6994
The GCF of 5650,7345 is 565 .
LCM of 171,6994 is 1195974.
The greatest common factor of 5650/171,7345/6994 = [GCF of 5650,7345]/[LCM of 171,6994]= 565/1195974
Therefore, the GCF of 5650/171,7345/6994 is 565/1195974.
To find the highest common factor of 5650,7345, we have to find the factors of both numbers and list the highest common factor.
The factors of 5650 are 1, 2, 5, 10, 25, 50, 113, 226, 565, 1130, 2825, 5650
The factors of 7345 are 1, 5, 13, 65, 113, 565, 1469, 7345
The HCF of 5650,7345 is 565.
Lets's calculate GCF of 5650,7345
| 5 | 5650, 7345 |
| 113 | 1130, 1469 |
| 10, 13 |
∴ So the GCF of the given numbers is 5 x 113 = 565
Greatest Common Factor of 5650,7345 By Matching Biggest Common Factor Method
Now, list down the factors of 5650
:1,2,5,10,25,50,113,226,565,1130,2825,5650
Now, list down the factors of 7345
:1,5,13,65,113,565,1469,7345
Greatest Common Factor
We found the factors 5650,7345 . The biggest common factor number is the GCF number.
So the greatest common factor 5650,7345 is 565.
Lets's calculate LCM of 171,6994
Given numbers has no common factors except 1. So, there LCM is their product i.e 1195974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 565/1195974
Therefore, the GCF of Fractions 5650/171,7345/6994 is 565/1195974
Least Common Multiple of 171,6994 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 171,6994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,6994) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(171,6994) x common factors =1 x 1 = 1
LCM(171,6994) = ( 171 × 6994 ) / 1
LCM(171,6994) = 1195974 / 1
LCM(171,6994) = 1195974
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FAQs on GCF of Fractions of 5650/171, 7345/6994
1. What is the HCF of 5650,7345?
The HCF of 5650,7345 is 565
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 5650/171, 7345/6994?
Answer: GCF of Numerators as per given numbers 5650/171, 7345/6994 is
GCF of Numerators i.e. for 5650,7345 is 565
LCM of denominators i.e. for 171,6994 is 1195974.
Thus, GCF of Fractions is 565/1195974.Finally, GCF of Fractions for 5650/171, 7345/6994 is 565/1195974.