GCF of 4861/198, 3787/6824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4861/198, 3787/6824 i.e 1/675576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4861/198, 3787/6824.
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 4861/198,3787/6824?
Given fractions are 4861/198,3787/6824
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 4861/198,3787/6824, numerators are 4861,3787
Denominators are 198,6824
The GCF of 4861,3787 is 1 .
LCM of 198,6824 is 675576.
The greatest common factor of 4861/198,3787/6824 = [GCF of 4861,3787]/[LCM of 198,6824]= 1/675576
Therefore, the GCF of 4861/198,3787/6824 is 1/675576.
To find the highest common factor of 4861,3787, we have to find the factors of both numbers and list the highest common factor.
The factors of 4861 are 1, 4861
The factors of 3787 are 1, 7, 541, 3787
The HCF of 4861,3787 is 1.
Lets's calculate GCF of 4861,3787
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4861,3787 By Matching Biggest Common Factor Method
Now, list down the factors of 4861
:1,4861
Now, list down the factors of 3787
:1,7,541,3787
Greatest Common Factor
We found the factors 4861,3787 . The biggest common factor number is the GCF number.
So the greatest common factor 4861,3787 is 1.
Lets's calculate LCM of 198,6824
| 2 | 198, 6824 |
| 99, 3412 |
∴ So the LCM of the given numbers is 2 x 99 x 3412 = 675576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/675576
Therefore, the GCF of Fractions 4861/198,3787/6824 is 1/675576
Least Common Multiple of 198,6824 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 198,6824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,6824) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(198,6824) x common factors =2 x 1 = 2
LCM(198,6824) = ( 198 × 6824 ) / 2
LCM(198,6824) = 1351152 / 2
LCM(198,6824) = 675576
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FAQs on GCF of Fractions of 4861/198, 3787/6824
1. What is the HCF of 4861,3787?
The HCF of 4861,3787 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 4861/198, 3787/6824?
Answer: GCF of Numerators as per given numbers 4861/198, 3787/6824 is
GCF of Numerators i.e. for 4861,3787 is 1
LCM of denominators i.e. for 198,6824 is 675576.
Thus, GCF of Fractions is 1/675576.Finally, GCF of Fractions for 4861/198, 3787/6824 is 1/675576.