GCF of 7669/443, 7812/2443
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7669/443, 7812/2443 i.e 1/1082249 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7669/443, 7812/2443.
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 7669/443,7812/2443?
Given fractions are 7669/443,7812/2443
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 7669/443,7812/2443, numerators are 7669,7812
Denominators are 443,2443
The GCF of 7669,7812 is 1 .
LCM of 443,2443 is 1082249.
The greatest common factor of 7669/443,7812/2443 = [GCF of 7669,7812]/[LCM of 443,2443]= 1/1082249
Therefore, the GCF of 7669/443,7812/2443 is 1/1082249.
To find the highest common factor of 7669,7812, 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 7812 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 31, 36, 42, 62, 63, 84, 93, 124, 126, 186, 217, 252, 279, 372, 434, 558, 651, 868, 1116, 1302, 1953, 2604, 3906, 7812
The HCF of 7669,7812 is 1.
Lets's calculate GCF of 7669,7812
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7669,7812 By Matching Biggest Common Factor Method
Now, list down the factors of 7669
:1,7669
Now, list down the factors of 7812
:1,2,3,4,6,7,9,12,14,18,21,28,31,36,42,62,63,84,93,124,126,186,217,252,279,372,434,558,651,868,1116,1302,1953,2604,3906,7812
Greatest Common Factor
We found the factors 7669,7812 . The biggest common factor number is the GCF number.
So the greatest common factor 7669,7812 is 1.
Lets's calculate LCM of 443,2443
Given numbers has no common factors except 1. So, there LCM is their product i.e 1082249
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1082249
Therefore, the GCF of Fractions 7669/443,7812/2443 is 1/1082249
Least Common Multiple of 443,2443 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 443,2443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,2443) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,2443) x common factors =1 x 1 = 1
LCM(443,2443) = ( 443 × 2443 ) / 1
LCM(443,2443) = 1082249 / 1
LCM(443,2443) = 1082249
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FAQs on GCF of Fractions of 7669/443, 7812/2443
1. What is the HCF of 7669,7812?
The HCF of 7669,7812 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 7669/443, 7812/2443?
Answer: GCF of Numerators as per given numbers 7669/443, 7812/2443 is
GCF of Numerators i.e. for 7669,7812 is 1
LCM of denominators i.e. for 443,2443 is 1082249.
Thus, GCF of Fractions is 1/1082249.Finally, GCF of Fractions for 7669/443, 7812/2443 is 1/1082249.