GCF of 4501/917, 6707/831
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4501/917, 6707/831 i.e 1/762027 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4501/917, 6707/831.
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 4501/917,6707/831?
Given fractions are 4501/917,6707/831
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 4501/917,6707/831, numerators are 4501,6707
Denominators are 917,831
The GCF of 4501,6707 is 1 .
LCM of 917,831 is 762027.
The greatest common factor of 4501/917,6707/831 = [GCF of 4501,6707]/[LCM of 917,831]= 1/762027
Therefore, the GCF of 4501/917,6707/831 is 1/762027.
To find the highest common factor of 4501,6707, we have to find the factors of both numbers and list the highest common factor.
The factors of 4501 are 1, 7, 643, 4501
The factors of 6707 are 1, 19, 353, 6707
The HCF of 4501,6707 is 1.
Lets's calculate GCF of 4501,6707
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4501,6707 By Matching Biggest Common Factor Method
Now, list down the factors of 4501
:1,7,643,4501
Now, list down the factors of 6707
:1,19,353,6707
Greatest Common Factor
We found the factors 4501,6707 . The biggest common factor number is the GCF number.
So the greatest common factor 4501,6707 is 1.
Lets's calculate LCM of 917,831
Given numbers has no common factors except 1. So, there LCM is their product i.e 762027
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/762027
Therefore, the GCF of Fractions 4501/917,6707/831 is 1/762027
Least Common Multiple of 917,831 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 917,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(917,831) x common factors =1 x 1 = 1
LCM(917,831) = ( 917 × 831 ) / 1
LCM(917,831) = 762027 / 1
LCM(917,831) = 762027
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FAQs on GCF of Fractions of 4501/917, 6707/831
1. What is the HCF of 4501,6707?
The HCF of 4501,6707 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 4501/917, 6707/831?
Answer: GCF of Numerators as per given numbers 4501/917, 6707/831 is
GCF of Numerators i.e. for 4501,6707 is 1
LCM of denominators i.e. for 917,831 is 762027.
Thus, GCF of Fractions is 1/762027.Finally, GCF of Fractions for 4501/917, 6707/831 is 1/762027.