GCF of 8699/670, 1394/8456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8699/670, 1394/8456 i.e 1/2832760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8699/670, 1394/8456.
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 8699/670,1394/8456?
Given fractions are 8699/670,1394/8456
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 8699/670,1394/8456, numerators are 8699,1394
Denominators are 670,8456
The GCF of 8699,1394 is 1 .
LCM of 670,8456 is 2832760.
The greatest common factor of 8699/670,1394/8456 = [GCF of 8699,1394]/[LCM of 670,8456]= 1/2832760
Therefore, the GCF of 8699/670,1394/8456 is 1/2832760.
To find the highest common factor of 8699,1394, we have to find the factors of both numbers and list the highest common factor.
The factors of 8699 are 1, 8699
The factors of 1394 are 1, 2, 17, 34, 41, 82, 697, 1394
The HCF of 8699,1394 is 1.
Lets's calculate GCF of 8699,1394
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8699,1394 By Matching Biggest Common Factor Method
Now, list down the factors of 8699
:1,8699
Now, list down the factors of 1394
:1,2,17,34,41,82,697,1394
Greatest Common Factor
We found the factors 8699,1394 . The biggest common factor number is the GCF number.
So the greatest common factor 8699,1394 is 1.
Lets's calculate LCM of 670,8456
| 2 | 670, 8456 |
| 335, 4228 |
∴ So the LCM of the given numbers is 2 x 335 x 4228 = 2832760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2832760
Therefore, the GCF of Fractions 8699/670,1394/8456 is 1/2832760
Least Common Multiple of 670,8456 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 670,8456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,8456) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(670,8456) x common factors =2 x 1 = 2
LCM(670,8456) = ( 670 × 8456 ) / 2
LCM(670,8456) = 5665520 / 2
LCM(670,8456) = 2832760
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FAQs on GCF of Fractions of 8699/670, 1394/8456
1. What is the HCF of 8699,1394?
The HCF of 8699,1394 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 8699/670, 1394/8456?
Answer: GCF of Numerators as per given numbers 8699/670, 1394/8456 is
GCF of Numerators i.e. for 8699,1394 is 1
LCM of denominators i.e. for 670,8456 is 2832760.
Thus, GCF of Fractions is 1/2832760.Finally, GCF of Fractions for 8699/670, 1394/8456 is 1/2832760.