GCF of 1657/865, 8925/7345
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1657/865, 8925/7345 i.e 1/1270685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1657/865, 8925/7345.
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 1657/865,8925/7345?
Given fractions are 1657/865,8925/7345
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 1657/865,8925/7345, numerators are 1657,8925
Denominators are 865,7345
The GCF of 1657,8925 is 1 .
LCM of 865,7345 is 1270685.
The greatest common factor of 1657/865,8925/7345 = [GCF of 1657,8925]/[LCM of 865,7345]= 1/1270685
Therefore, the GCF of 1657/865,8925/7345 is 1/1270685.
To find the highest common factor of 1657,8925, we have to find the factors of both numbers and list the highest common factor.
The factors of 1657 are 1, 1657
The factors of 8925 are 1, 3, 5, 7, 15, 17, 21, 25, 35, 51, 75, 85, 105, 119, 175, 255, 357, 425, 525, 595, 1275, 1785, 2975, 8925
The HCF of 1657,8925 is 1.
Lets's calculate GCF of 1657,8925
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1657,8925 By Matching Biggest Common Factor Method
Now, list down the factors of 1657
:1,1657
Now, list down the factors of 8925
:1,3,5,7,15,17,21,25,35,51,75,85,105,119,175,255,357,425,525,595,1275,1785,2975,8925
Greatest Common Factor
We found the factors 1657,8925 . The biggest common factor number is the GCF number.
So the greatest common factor 1657,8925 is 1.
Lets's calculate LCM of 865,7345
| 5 | 865, 7345 |
| 173, 1469 |
∴ So the LCM of the given numbers is 5 x 173 x 1469 = 1270685
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1270685
Therefore, the GCF of Fractions 1657/865,8925/7345 is 1/1270685
Least Common Multiple of 865,7345 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 865,7345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,7345) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(865,7345) x common factors =5 x 1 = 5
LCM(865,7345) = ( 865 × 7345 ) / 5
LCM(865,7345) = 6353425 / 5
LCM(865,7345) = 1270685
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FAQs on GCF of Fractions of 1657/865, 8925/7345
1. What is the HCF of 1657,8925?
The HCF of 1657,8925 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 1657/865, 8925/7345?
Answer: GCF of Numerators as per given numbers 1657/865, 8925/7345 is
GCF of Numerators i.e. for 1657,8925 is 1
LCM of denominators i.e. for 865,7345 is 1270685.
Thus, GCF of Fractions is 1/1270685.Finally, GCF of Fractions for 1657/865, 8925/7345 is 1/1270685.