GCF of 3413/493, 7707/8924
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3413/493, 7707/8924 i.e 1/4399532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3413/493, 7707/8924.
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 3413/493,7707/8924?
Given fractions are 3413/493,7707/8924
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 3413/493,7707/8924, numerators are 3413,7707
Denominators are 493,8924
The GCF of 3413,7707 is 1 .
LCM of 493,8924 is 4399532.
The greatest common factor of 3413/493,7707/8924 = [GCF of 3413,7707]/[LCM of 493,8924]= 1/4399532
Therefore, the GCF of 3413/493,7707/8924 is 1/4399532.
To find the highest common factor of 3413,7707, we have to find the factors of both numbers and list the highest common factor.
The factors of 3413 are 1, 3413
The factors of 7707 are 1, 3, 7, 21, 367, 1101, 2569, 7707
The HCF of 3413,7707 is 1.
Lets's calculate GCF of 3413,7707
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3413,7707 By Matching Biggest Common Factor Method
Now, list down the factors of 3413
:1,3413
Now, list down the factors of 7707
:1,3,7,21,367,1101,2569,7707
Greatest Common Factor
We found the factors 3413,7707 . The biggest common factor number is the GCF number.
So the greatest common factor 3413,7707 is 1.
Lets's calculate LCM of 493,8924
Given numbers has no common factors except 1. So, there LCM is their product i.e 4399532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4399532
Therefore, the GCF of Fractions 3413/493,7707/8924 is 1/4399532
Least Common Multiple of 493,8924 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 493,8924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,8924) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(493,8924) x common factors =1 x 1 = 1
LCM(493,8924) = ( 493 × 8924 ) / 1
LCM(493,8924) = 4399532 / 1
LCM(493,8924) = 4399532
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FAQs on GCF of Fractions of 3413/493, 7707/8924
1. What is the HCF of 3413,7707?
The HCF of 3413,7707 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 3413/493, 7707/8924?
Answer: GCF of Numerators as per given numbers 3413/493, 7707/8924 is
GCF of Numerators i.e. for 3413,7707 is 1
LCM of denominators i.e. for 493,8924 is 4399532.
Thus, GCF of Fractions is 1/4399532.Finally, GCF of Fractions for 3413/493, 7707/8924 is 1/4399532.