GCF of 4772/429, 3464/4001
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4772/429, 3464/4001 i.e 4/1716429 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4772/429, 3464/4001.
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 4772/429,3464/4001?
Given fractions are 4772/429,3464/4001
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 4772/429,3464/4001, numerators are 4772,3464
Denominators are 429,4001
The GCF of 4772,3464 is 4 .
LCM of 429,4001 is 1716429.
The greatest common factor of 4772/429,3464/4001 = [GCF of 4772,3464]/[LCM of 429,4001]= 4/1716429
Therefore, the GCF of 4772/429,3464/4001 is 4/1716429.
To find the highest common factor of 4772,3464, we have to find the factors of both numbers and list the highest common factor.
The factors of 4772 are 1, 2, 4, 1193, 2386, 4772
The factors of 3464 are 1, 2, 4, 8, 433, 866, 1732, 3464
The HCF of 4772,3464 is 4.
Lets's calculate GCF of 4772,3464
| 2 | 4772, 3464 |
| 2 | 2386, 1732 |
| 1193, 866 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4772,3464 By Matching Biggest Common Factor Method
Now, list down the factors of 4772
:1,2,4,1193,2386,4772
Now, list down the factors of 3464
:1,2,4,8,433,866,1732,3464
Greatest Common Factor
We found the factors 4772,3464 . The biggest common factor number is the GCF number.
So the greatest common factor 4772,3464 is 4.
Lets's calculate LCM of 429,4001
Given numbers has no common factors except 1. So, there LCM is their product i.e 1716429
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1716429
Therefore, the GCF of Fractions 4772/429,3464/4001 is 4/1716429
Least Common Multiple of 429,4001 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 429,4001 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,4001) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(429,4001) x common factors =1 x 1 = 1
LCM(429,4001) = ( 429 × 4001 ) / 1
LCM(429,4001) = 1716429 / 1
LCM(429,4001) = 1716429
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FAQs on GCF of Fractions of 4772/429, 3464/4001
1. What is the HCF of 4772,3464?
The HCF of 4772,3464 is 4
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 4772/429, 3464/4001?
Answer: GCF of Numerators as per given numbers 4772/429, 3464/4001 is
GCF of Numerators i.e. for 4772,3464 is 4
LCM of denominators i.e. for 429,4001 is 1716429.
Thus, GCF of Fractions is 4/1716429.Finally, GCF of Fractions for 4772/429, 3464/4001 is 4/1716429.