GCF of 8817/698, 7301/9830
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8817/698, 7301/9830 i.e 1/3430670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8817/698, 7301/9830.
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 8817/698,7301/9830?
Given fractions are 8817/698,7301/9830
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 8817/698,7301/9830, numerators are 8817,7301
Denominators are 698,9830
The GCF of 8817,7301 is 1 .
LCM of 698,9830 is 3430670.
The greatest common factor of 8817/698,7301/9830 = [GCF of 8817,7301]/[LCM of 698,9830]= 1/3430670
Therefore, the GCF of 8817/698,7301/9830 is 1/3430670.
To find the highest common factor of 8817,7301, we have to find the factors of both numbers and list the highest common factor.
The factors of 8817 are 1, 3, 2939, 8817
The factors of 7301 are 1, 7, 49, 149, 1043, 7301
The HCF of 8817,7301 is 1.
Lets's calculate GCF of 8817,7301
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8817,7301 By Matching Biggest Common Factor Method
Now, list down the factors of 8817
:1,3,2939,8817
Now, list down the factors of 7301
:1,7,49,149,1043,7301
Greatest Common Factor
We found the factors 8817,7301 . The biggest common factor number is the GCF number.
So the greatest common factor 8817,7301 is 1.
Lets's calculate LCM of 698,9830
| 2 | 698, 9830 |
| 349, 4915 |
∴ So the LCM of the given numbers is 2 x 349 x 4915 = 3430670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3430670
Therefore, the GCF of Fractions 8817/698,7301/9830 is 1/3430670
Least Common Multiple of 698,9830 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 698,9830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,9830) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(698,9830) x common factors =2 x 1 = 2
LCM(698,9830) = ( 698 × 9830 ) / 2
LCM(698,9830) = 6861340 / 2
LCM(698,9830) = 3430670
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FAQs on GCF of Fractions of 8817/698, 7301/9830
1. What is the HCF of 8817,7301?
The HCF of 8817,7301 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 8817/698, 7301/9830?
Answer: GCF of Numerators as per given numbers 8817/698, 7301/9830 is
GCF of Numerators i.e. for 8817,7301 is 1
LCM of denominators i.e. for 698,9830 is 3430670.
Thus, GCF of Fractions is 1/3430670.Finally, GCF of Fractions for 8817/698, 7301/9830 is 1/3430670.