GCF of 4895/398, 6787/5971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4895/398, 6787/5971 i.e 11/2376458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4895/398, 6787/5971.
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 4895/398,6787/5971?
Given fractions are 4895/398,6787/5971
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 4895/398,6787/5971, numerators are 4895,6787
Denominators are 398,5971
The GCF of 4895,6787 is 11 .
LCM of 398,5971 is 2376458.
The greatest common factor of 4895/398,6787/5971 = [GCF of 4895,6787]/[LCM of 398,5971]= 11/2376458
Therefore, the GCF of 4895/398,6787/5971 is 11/2376458.
To find the highest common factor of 4895,6787, we have to find the factors of both numbers and list the highest common factor.
The factors of 4895 are 1, 5, 11, 55, 89, 445, 979, 4895
The factors of 6787 are 1, 11, 617, 6787
The HCF of 4895,6787 is 11.
Lets's calculate GCF of 4895,6787
| 11 | 4895, 6787 |
| 445, 617 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 4895,6787 By Matching Biggest Common Factor Method
Now, list down the factors of 4895
:1,5,11,55,89,445,979,4895
Now, list down the factors of 6787
:1,11,617,6787
Greatest Common Factor
We found the factors 4895,6787 . The biggest common factor number is the GCF number.
So the greatest common factor 4895,6787 is 11.
Lets's calculate LCM of 398,5971
Given numbers has no common factors except 1. So, there LCM is their product i.e 2376458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2376458
Therefore, the GCF of Fractions 4895/398,6787/5971 is 11/2376458
Least Common Multiple of 398,5971 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 398,5971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,5971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(398,5971) x common factors =1 x 1 = 1
LCM(398,5971) = ( 398 × 5971 ) / 1
LCM(398,5971) = 2376458 / 1
LCM(398,5971) = 2376458
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FAQs on GCF of Fractions of 4895/398, 6787/5971
1. What is the HCF of 4895,6787?
The HCF of 4895,6787 is 11
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 4895/398, 6787/5971?
Answer: GCF of Numerators as per given numbers 4895/398, 6787/5971 is
GCF of Numerators i.e. for 4895,6787 is 11
LCM of denominators i.e. for 398,5971 is 2376458.
Thus, GCF of Fractions is 11/2376458.Finally, GCF of Fractions for 4895/398, 6787/5971 is 11/2376458.