GCF of 6286/690, 1847/4646
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6286/690, 1847/4646 i.e 1/69690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6286/690, 1847/4646.
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 6286/690,1847/4646?
Given fractions are 6286/690,1847/4646
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 6286/690,1847/4646, numerators are 6286,1847
Denominators are 690,4646
The GCF of 6286,1847 is 1 .
LCM of 690,4646 is 69690.
The greatest common factor of 6286/690,1847/4646 = [GCF of 6286,1847]/[LCM of 690,4646]= 1/69690
Therefore, the GCF of 6286/690,1847/4646 is 1/69690.
To find the highest common factor of 6286,1847, we have to find the factors of both numbers and list the highest common factor.
The factors of 6286 are 1, 2, 7, 14, 449, 898, 3143, 6286
The factors of 1847 are 1, 1847
The HCF of 6286,1847 is 1.
Lets's calculate GCF of 6286,1847
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6286,1847 By Matching Biggest Common Factor Method
Now, list down the factors of 6286
:1,2,7,14,449,898,3143,6286
Now, list down the factors of 1847
:1,1847
Greatest Common Factor
We found the factors 6286,1847 . The biggest common factor number is the GCF number.
So the greatest common factor 6286,1847 is 1.
Lets's calculate LCM of 690,4646
| 2 | 690, 4646 |
| 23 | 345, 2323 |
| 15, 101 |
∴ So the LCM of the given numbers is 2 x 23 x 15 x 101 = 69690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69690
Therefore, the GCF of Fractions 6286/690,1847/4646 is 1/69690
Least Common Multiple of 690,4646 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 690,4646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,4646) = 46
common factors(in case of two or more numbers have common factors) = 1
GCF(690,4646) x common factors =46 x 1 = 46
LCM(690,4646) = ( 690 × 4646 ) / 46
LCM(690,4646) = 3205740 / 46
LCM(690,4646) = 69690
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FAQs on GCF of Fractions of 6286/690, 1847/4646
1. What is the HCF of 6286,1847?
The HCF of 6286,1847 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 6286/690, 1847/4646?
Answer: GCF of Numerators as per given numbers 6286/690, 1847/4646 is
GCF of Numerators i.e. for 6286,1847 is 1
LCM of denominators i.e. for 690,4646 is 69690.
Thus, GCF of Fractions is 1/69690.Finally, GCF of Fractions for 6286/690, 1847/4646 is 1/69690.