GCF of 110/9626, 691/1751
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 110/9626, 691/1751 i.e 1/16855126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 110/9626, 691/1751.
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 110/9626,691/1751?
Given fractions are 110/9626,691/1751
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 110/9626,691/1751, numerators are 110,691
Denominators are 9626,1751
The GCF of 110,691 is 1 .
LCM of 9626,1751 is 16855126.
The greatest common factor of 110/9626,691/1751 = [GCF of 110,691]/[LCM of 9626,1751]= 1/16855126
Therefore, the GCF of 110/9626,691/1751 is 1/16855126.
To find the highest common factor of 110,691, we have to find the factors of both numbers and list the highest common factor.
The factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110
The factors of 691 are 1, 691
The HCF of 110,691 is 1.
Lets's calculate GCF of 110,691
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 110,691 By Matching Biggest Common Factor Method
Now, list down the factors of 110
:1,2,5,10,11,22,55,110
Now, list down the factors of 691
:1,691
Greatest Common Factor
We found the factors 110,691 . The biggest common factor number is the GCF number.
So the greatest common factor 110,691 is 1.
Lets's calculate LCM of 9626,1751
Given numbers has no common factors except 1. So, there LCM is their product i.e 16855126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16855126
Therefore, the GCF of Fractions 110/9626,691/1751 is 1/16855126
Least Common Multiple of 9626,1751 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 9626,1751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9626,1751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9626,1751) x common factors =1 x 1 = 1
LCM(9626,1751) = ( 9626 × 1751 ) / 1
LCM(9626,1751) = 16855126 / 1
LCM(9626,1751) = 16855126
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FAQs on GCF of Fractions of 110/9626, 691/1751
1. What is the HCF of 110,691?
The HCF of 110,691 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 110/9626, 691/1751?
Answer: GCF of Numerators as per given numbers 110/9626, 691/1751 is
GCF of Numerators i.e. for 110,691 is 1
LCM of denominators i.e. for 9626,1751 is 16855126.
Thus, GCF of Fractions is 1/16855126.Finally, GCF of Fractions for 110/9626, 691/1751 is 1/16855126.