GCF of 7669/934, 4467/438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7669/934, 4467/438 i.e 1/204546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7669/934, 4467/438.
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 7669/934,4467/438?
Given fractions are 7669/934,4467/438
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 7669/934,4467/438, numerators are 7669,4467
Denominators are 934,438
The GCF of 7669,4467 is 1 .
LCM of 934,438 is 204546.
The greatest common factor of 7669/934,4467/438 = [GCF of 7669,4467]/[LCM of 934,438]= 1/204546
Therefore, the GCF of 7669/934,4467/438 is 1/204546.
To find the highest common factor of 7669,4467, we have to find the factors of both numbers and list the highest common factor.
The factors of 7669 are 1, 7669
The factors of 4467 are 1, 3, 1489, 4467
The HCF of 7669,4467 is 1.
Lets's calculate GCF of 7669,4467
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7669,4467 By Matching Biggest Common Factor Method
Now, list down the factors of 7669
:1,7669
Now, list down the factors of 4467
:1,3,1489,4467
Greatest Common Factor
We found the factors 7669,4467 . The biggest common factor number is the GCF number.
So the greatest common factor 7669,4467 is 1.
Lets's calculate LCM of 934,438
| 2 | 934, 438 |
| 467, 219 |
∴ So the LCM of the given numbers is 2 x 467 x 219 = 204546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204546
Therefore, the GCF of Fractions 7669/934,4467/438 is 1/204546
Least Common Multiple of 934,438 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 934,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,438) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(934,438) x common factors =2 x 1 = 2
LCM(934,438) = ( 934 × 438 ) / 2
LCM(934,438) = 409092 / 2
LCM(934,438) = 204546
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FAQs on GCF of Fractions of 7669/934, 4467/438
1. What is the HCF of 7669,4467?
The HCF of 7669,4467 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 7669/934, 4467/438?
Answer: GCF of Numerators as per given numbers 7669/934, 4467/438 is
GCF of Numerators i.e. for 7669,4467 is 1
LCM of denominators i.e. for 934,438 is 204546.
Thus, GCF of Fractions is 1/204546.Finally, GCF of Fractions for 7669/934, 4467/438 is 1/204546.