GCF of 4722/897, 7153/8783
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4722/897, 7153/8783 i.e 1/7878351 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4722/897, 7153/8783.
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 4722/897,7153/8783?
Given fractions are 4722/897,7153/8783
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 4722/897,7153/8783, numerators are 4722,7153
Denominators are 897,8783
The GCF of 4722,7153 is 1 .
LCM of 897,8783 is 7878351.
The greatest common factor of 4722/897,7153/8783 = [GCF of 4722,7153]/[LCM of 897,8783]= 1/7878351
Therefore, the GCF of 4722/897,7153/8783 is 1/7878351.
To find the highest common factor of 4722,7153, we have to find the factors of both numbers and list the highest common factor.
The factors of 4722 are 1, 2, 3, 6, 787, 1574, 2361, 4722
The factors of 7153 are 1, 23, 311, 7153
The HCF of 4722,7153 is 1.
Lets's calculate GCF of 4722,7153
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4722,7153 By Matching Biggest Common Factor Method
Now, list down the factors of 4722
:1,2,3,6,787,1574,2361,4722
Now, list down the factors of 7153
:1,23,311,7153
Greatest Common Factor
We found the factors 4722,7153 . The biggest common factor number is the GCF number.
So the greatest common factor 4722,7153 is 1.
Lets's calculate LCM of 897,8783
Given numbers has no common factors except 1. So, there LCM is their product i.e 7878351
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7878351
Therefore, the GCF of Fractions 4722/897,7153/8783 is 1/7878351
Least Common Multiple of 897,8783 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 897,8783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,8783) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(897,8783) x common factors =1 x 1 = 1
LCM(897,8783) = ( 897 × 8783 ) / 1
LCM(897,8783) = 7878351 / 1
LCM(897,8783) = 7878351
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FAQs on GCF of Fractions of 4722/897, 7153/8783
1. What is the HCF of 4722,7153?
The HCF of 4722,7153 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 4722/897, 7153/8783?
Answer: GCF of Numerators as per given numbers 4722/897, 7153/8783 is
GCF of Numerators i.e. for 4722,7153 is 1
LCM of denominators i.e. for 897,8783 is 7878351.
Thus, GCF of Fractions is 1/7878351.Finally, GCF of Fractions for 4722/897, 7153/8783 is 1/7878351.