GCF of 1670/654, 8253/710
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1670/654, 8253/710 i.e 1/232170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1670/654, 8253/710.
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 1670/654,8253/710?
Given fractions are 1670/654,8253/710
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 1670/654,8253/710, numerators are 1670,8253
Denominators are 654,710
The GCF of 1670,8253 is 1 .
LCM of 654,710 is 232170.
The greatest common factor of 1670/654,8253/710 = [GCF of 1670,8253]/[LCM of 654,710]= 1/232170
Therefore, the GCF of 1670/654,8253/710 is 1/232170.
To find the highest common factor of 1670,8253, we have to find the factors of both numbers and list the highest common factor.
The factors of 1670 are 1, 2, 5, 10, 167, 334, 835, 1670
The factors of 8253 are 1, 3, 7, 9, 21, 63, 131, 393, 917, 1179, 2751, 8253
The HCF of 1670,8253 is 1.
Lets's calculate GCF of 1670,8253
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1670,8253 By Matching Biggest Common Factor Method
Now, list down the factors of 1670
:1,2,5,10,167,334,835,1670
Now, list down the factors of 8253
:1,3,7,9,21,63,131,393,917,1179,2751,8253
Greatest Common Factor
We found the factors 1670,8253 . The biggest common factor number is the GCF number.
So the greatest common factor 1670,8253 is 1.
Lets's calculate LCM of 654,710
| 2 | 654, 710 |
| 327, 355 |
∴ So the LCM of the given numbers is 2 x 327 x 355 = 232170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/232170
Therefore, the GCF of Fractions 1670/654,8253/710 is 1/232170
Least Common Multiple of 654,710 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 654,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(654,710) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(654,710) x common factors =2 x 1 = 2
LCM(654,710) = ( 654 × 710 ) / 2
LCM(654,710) = 464340 / 2
LCM(654,710) = 232170
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FAQs on GCF of Fractions of 1670/654, 8253/710
1. What is the HCF of 1670,8253?
The HCF of 1670,8253 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 1670/654, 8253/710?
Answer: GCF of Numerators as per given numbers 1670/654, 8253/710 is
GCF of Numerators i.e. for 1670,8253 is 1
LCM of denominators i.e. for 654,710 is 232170.
Thus, GCF of Fractions is 1/232170.Finally, GCF of Fractions for 1670/654, 8253/710 is 1/232170.