GCF of 9931/659, 4705/611
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9931/659, 4705/611 i.e 1/402649 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9931/659, 4705/611.
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 9931/659,4705/611?
Given fractions are 9931/659,4705/611
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 9931/659,4705/611, numerators are 9931,4705
Denominators are 659,611
The GCF of 9931,4705 is 1 .
LCM of 659,611 is 402649.
The greatest common factor of 9931/659,4705/611 = [GCF of 9931,4705]/[LCM of 659,611]= 1/402649
Therefore, the GCF of 9931/659,4705/611 is 1/402649.
To find the highest common factor of 9931,4705, we have to find the factors of both numbers and list the highest common factor.
The factors of 9931 are 1, 9931
The factors of 4705 are 1, 5, 941, 4705
The HCF of 9931,4705 is 1.
Lets's calculate GCF of 9931,4705
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9931,4705 By Matching Biggest Common Factor Method
Now, list down the factors of 9931
:1,9931
Now, list down the factors of 4705
:1,5,941,4705
Greatest Common Factor
We found the factors 9931,4705 . The biggest common factor number is the GCF number.
So the greatest common factor 9931,4705 is 1.
Lets's calculate LCM of 659,611
Given numbers has no common factors except 1. So, there LCM is their product i.e 402649
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/402649
Therefore, the GCF of Fractions 9931/659,4705/611 is 1/402649
Least Common Multiple of 659,611 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 659,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(659,611) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(659,611) x common factors =1 x 1 = 1
LCM(659,611) = ( 659 × 611 ) / 1
LCM(659,611) = 402649 / 1
LCM(659,611) = 402649
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FAQs on GCF of Fractions of 9931/659, 4705/611
1. What is the HCF of 9931,4705?
The HCF of 9931,4705 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 9931/659, 4705/611?
Answer: GCF of Numerators as per given numbers 9931/659, 4705/611 is
GCF of Numerators i.e. for 9931,4705 is 1
LCM of denominators i.e. for 659,611 is 402649.
Thus, GCF of Fractions is 1/402649.Finally, GCF of Fractions for 9931/659, 4705/611 is 1/402649.