GCF of 4849/822, 3150/7847
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4849/822, 3150/7847 i.e 1/6450234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4849/822, 3150/7847.
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 4849/822,3150/7847?
Given fractions are 4849/822,3150/7847
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 4849/822,3150/7847, numerators are 4849,3150
Denominators are 822,7847
The GCF of 4849,3150 is 1 .
LCM of 822,7847 is 6450234.
The greatest common factor of 4849/822,3150/7847 = [GCF of 4849,3150]/[LCM of 822,7847]= 1/6450234
Therefore, the GCF of 4849/822,3150/7847 is 1/6450234.
To find the highest common factor of 4849,3150, we have to find the factors of both numbers and list the highest common factor.
The factors of 4849 are 1, 13, 373, 4849
The factors of 3150 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150
The HCF of 4849,3150 is 1.
Lets's calculate GCF of 4849,3150
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4849,3150 By Matching Biggest Common Factor Method
Now, list down the factors of 4849
:1,13,373,4849
Now, list down the factors of 3150
:1,2,3,5,6,7,9,10,14,15,18,21,25,30,35,42,45,50,63,70,75,90,105,126,150,175,210,225,315,350,450,525,630,1050,1575,3150
Greatest Common Factor
We found the factors 4849,3150 . The biggest common factor number is the GCF number.
So the greatest common factor 4849,3150 is 1.
Lets's calculate LCM of 822,7847
Given numbers has no common factors except 1. So, there LCM is their product i.e 6450234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6450234
Therefore, the GCF of Fractions 4849/822,3150/7847 is 1/6450234
Least Common Multiple of 822,7847 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 822,7847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,7847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(822,7847) x common factors =1 x 1 = 1
LCM(822,7847) = ( 822 × 7847 ) / 1
LCM(822,7847) = 6450234 / 1
LCM(822,7847) = 6450234
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4849/822, 3150/7847
1. What is the HCF of 4849,3150?
The HCF of 4849,3150 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 4849/822, 3150/7847?
Answer: GCF of Numerators as per given numbers 4849/822, 3150/7847 is
GCF of Numerators i.e. for 4849,3150 is 1
LCM of denominators i.e. for 822,7847 is 6450234.
Thus, GCF of Fractions is 1/6450234.Finally, GCF of Fractions for 4849/822, 3150/7847 is 1/6450234.