GCF of 4869/812, 2252/7023
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4869/812, 2252/7023 i.e 1/5702676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4869/812, 2252/7023.
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 4869/812,2252/7023?
Given fractions are 4869/812,2252/7023
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 4869/812,2252/7023, numerators are 4869,2252
Denominators are 812,7023
The GCF of 4869,2252 is 1 .
LCM of 812,7023 is 5702676.
The greatest common factor of 4869/812,2252/7023 = [GCF of 4869,2252]/[LCM of 812,7023]= 1/5702676
Therefore, the GCF of 4869/812,2252/7023 is 1/5702676.
To find the highest common factor of 4869,2252, we have to find the factors of both numbers and list the highest common factor.
The factors of 4869 are 1, 3, 9, 541, 1623, 4869
The factors of 2252 are 1, 2, 4, 563, 1126, 2252
The HCF of 4869,2252 is 1.
Lets's calculate GCF of 4869,2252
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4869,2252 By Matching Biggest Common Factor Method
Now, list down the factors of 4869
:1,3,9,541,1623,4869
Now, list down the factors of 2252
:1,2,4,563,1126,2252
Greatest Common Factor
We found the factors 4869,2252 . The biggest common factor number is the GCF number.
So the greatest common factor 4869,2252 is 1.
Lets's calculate LCM of 812,7023
Given numbers has no common factors except 1. So, there LCM is their product i.e 5702676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5702676
Therefore, the GCF of Fractions 4869/812,2252/7023 is 1/5702676
Least Common Multiple of 812,7023 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 812,7023 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,7023) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(812,7023) x common factors =1 x 1 = 1
LCM(812,7023) = ( 812 × 7023 ) / 1
LCM(812,7023) = 5702676 / 1
LCM(812,7023) = 5702676
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FAQs on GCF of Fractions of 4869/812, 2252/7023
1. What is the HCF of 4869,2252?
The HCF of 4869,2252 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 4869/812, 2252/7023?
Answer: GCF of Numerators as per given numbers 4869/812, 2252/7023 is
GCF of Numerators i.e. for 4869,2252 is 1
LCM of denominators i.e. for 812,7023 is 5702676.
Thus, GCF of Fractions is 1/5702676.Finally, GCF of Fractions for 4869/812, 2252/7023 is 1/5702676.