GCF of 6267/870, 5996/3105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6267/870, 5996/3105 i.e 1/180090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6267/870, 5996/3105.
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 6267/870,5996/3105?
Given fractions are 6267/870,5996/3105
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 6267/870,5996/3105, numerators are 6267,5996
Denominators are 870,3105
The GCF of 6267,5996 is 1 .
LCM of 870,3105 is 180090.
The greatest common factor of 6267/870,5996/3105 = [GCF of 6267,5996]/[LCM of 870,3105]= 1/180090
Therefore, the GCF of 6267/870,5996/3105 is 1/180090.
To find the highest common factor of 6267,5996, we have to find the factors of both numbers and list the highest common factor.
The factors of 6267 are 1, 3, 2089, 6267
The factors of 5996 are 1, 2, 4, 1499, 2998, 5996
The HCF of 6267,5996 is 1.
Lets's calculate GCF of 6267,5996
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6267,5996 By Matching Biggest Common Factor Method
Now, list down the factors of 6267
:1,3,2089,6267
Now, list down the factors of 5996
:1,2,4,1499,2998,5996
Greatest Common Factor
We found the factors 6267,5996 . The biggest common factor number is the GCF number.
So the greatest common factor 6267,5996 is 1.
Lets's calculate LCM of 870,3105
| 3 | 870, 3105 |
| 5 | 290, 1035 |
| 58, 207 |
∴ So the LCM of the given numbers is 3 x 5 x 58 x 207 = 180090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180090
Therefore, the GCF of Fractions 6267/870,5996/3105 is 1/180090
Least Common Multiple of 870,3105 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 870,3105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,3105) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(870,3105) x common factors =15 x 1 = 15
LCM(870,3105) = ( 870 × 3105 ) / 15
LCM(870,3105) = 2701350 / 15
LCM(870,3105) = 180090
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FAQs on GCF of Fractions of 6267/870, 5996/3105
1. What is the HCF of 6267,5996?
The HCF of 6267,5996 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 6267/870, 5996/3105?
Answer: GCF of Numerators as per given numbers 6267/870, 5996/3105 is
GCF of Numerators i.e. for 6267,5996 is 1
LCM of denominators i.e. for 870,3105 is 180090.
Thus, GCF of Fractions is 1/180090.Finally, GCF of Fractions for 6267/870, 5996/3105 is 1/180090.