GCF of 7719/362, 4928/8567
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7719/362, 4928/8567 i.e 1/3101254 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7719/362, 4928/8567.
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 7719/362,4928/8567?
Given fractions are 7719/362,4928/8567
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 7719/362,4928/8567, numerators are 7719,4928
Denominators are 362,8567
The GCF of 7719,4928 is 1 .
LCM of 362,8567 is 3101254.
The greatest common factor of 7719/362,4928/8567 = [GCF of 7719,4928]/[LCM of 362,8567]= 1/3101254
Therefore, the GCF of 7719/362,4928/8567 is 1/3101254.
To find the highest common factor of 7719,4928, we have to find the factors of both numbers and list the highest common factor.
The factors of 7719 are 1, 3, 31, 83, 93, 249, 2573, 7719
The factors of 4928 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464, 4928
The HCF of 7719,4928 is 1.
Lets's calculate GCF of 7719,4928
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7719,4928 By Matching Biggest Common Factor Method
Now, list down the factors of 7719
:1,3,31,83,93,249,2573,7719
Now, list down the factors of 4928
:1,2,4,7,8,11,14,16,22,28,32,44,56,64,77,88,112,154,176,224,308,352,448,616,704,1232,2464,4928
Greatest Common Factor
We found the factors 7719,4928 . The biggest common factor number is the GCF number.
So the greatest common factor 7719,4928 is 1.
Lets's calculate LCM of 362,8567
Given numbers has no common factors except 1. So, there LCM is their product i.e 3101254
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3101254
Therefore, the GCF of Fractions 7719/362,4928/8567 is 1/3101254
Least Common Multiple of 362,8567 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 362,8567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,8567) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(362,8567) x common factors =1 x 1 = 1
LCM(362,8567) = ( 362 × 8567 ) / 1
LCM(362,8567) = 3101254 / 1
LCM(362,8567) = 3101254
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FAQs on GCF of Fractions of 7719/362, 4928/8567
1. What is the HCF of 7719,4928?
The HCF of 7719,4928 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 7719/362, 4928/8567?
Answer: GCF of Numerators as per given numbers 7719/362, 4928/8567 is
GCF of Numerators i.e. for 7719,4928 is 1
LCM of denominators i.e. for 362,8567 is 3101254.
Thus, GCF of Fractions is 1/3101254.Finally, GCF of Fractions for 7719/362, 4928/8567 is 1/3101254.