GCF of 3904/715, 7785/4792
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3904/715, 7785/4792 i.e 1/3426280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3904/715, 7785/4792.
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 3904/715,7785/4792?
Given fractions are 3904/715,7785/4792
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 3904/715,7785/4792, numerators are 3904,7785
Denominators are 715,4792
The GCF of 3904,7785 is 1 .
LCM of 715,4792 is 3426280.
The greatest common factor of 3904/715,7785/4792 = [GCF of 3904,7785]/[LCM of 715,4792]= 1/3426280
Therefore, the GCF of 3904/715,7785/4792 is 1/3426280.
To find the highest common factor of 3904,7785, we have to find the factors of both numbers and list the highest common factor.
The factors of 3904 are 1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952, 3904
The factors of 7785 are 1, 3, 5, 9, 15, 45, 173, 519, 865, 1557, 2595, 7785
The HCF of 3904,7785 is 1.
Lets's calculate GCF of 3904,7785
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3904,7785 By Matching Biggest Common Factor Method
Now, list down the factors of 3904
:1,2,4,8,16,32,61,64,122,244,488,976,1952,3904
Now, list down the factors of 7785
:1,3,5,9,15,45,173,519,865,1557,2595,7785
Greatest Common Factor
We found the factors 3904,7785 . The biggest common factor number is the GCF number.
So the greatest common factor 3904,7785 is 1.
Lets's calculate LCM of 715,4792
Given numbers has no common factors except 1. So, there LCM is their product i.e 3426280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3426280
Therefore, the GCF of Fractions 3904/715,7785/4792 is 1/3426280
Least Common Multiple of 715,4792 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 715,4792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,4792) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(715,4792) x common factors =1 x 1 = 1
LCM(715,4792) = ( 715 × 4792 ) / 1
LCM(715,4792) = 3426280 / 1
LCM(715,4792) = 3426280
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FAQs on GCF of Fractions of 3904/715, 7785/4792
1. What is the HCF of 3904,7785?
The HCF of 3904,7785 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 3904/715, 7785/4792?
Answer: GCF of Numerators as per given numbers 3904/715, 7785/4792 is
GCF of Numerators i.e. for 3904,7785 is 1
LCM of denominators i.e. for 715,4792 is 3426280.
Thus, GCF of Fractions is 1/3426280.Finally, GCF of Fractions for 3904/715, 7785/4792 is 1/3426280.