GCF of 7897/507, 8822/1115
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7897/507, 8822/1115 i.e 1/565305 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7897/507, 8822/1115.
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 7897/507,8822/1115?
Given fractions are 7897/507,8822/1115
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 7897/507,8822/1115, numerators are 7897,8822
Denominators are 507,1115
The GCF of 7897,8822 is 1 .
LCM of 507,1115 is 565305.
The greatest common factor of 7897/507,8822/1115 = [GCF of 7897,8822]/[LCM of 507,1115]= 1/565305
Therefore, the GCF of 7897/507,8822/1115 is 1/565305.
To find the highest common factor of 7897,8822, we have to find the factors of both numbers and list the highest common factor.
The factors of 7897 are 1, 53, 149, 7897
The factors of 8822 are 1, 2, 11, 22, 401, 802, 4411, 8822
The HCF of 7897,8822 is 1.
Lets's calculate GCF of 7897,8822
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7897,8822 By Matching Biggest Common Factor Method
Now, list down the factors of 7897
:1,53,149,7897
Now, list down the factors of 8822
:1,2,11,22,401,802,4411,8822
Greatest Common Factor
We found the factors 7897,8822 . The biggest common factor number is the GCF number.
So the greatest common factor 7897,8822 is 1.
Lets's calculate LCM of 507,1115
Given numbers has no common factors except 1. So, there LCM is their product i.e 565305
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/565305
Therefore, the GCF of Fractions 7897/507,8822/1115 is 1/565305
Least Common Multiple of 507,1115 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 507,1115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,1115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(507,1115) x common factors =1 x 1 = 1
LCM(507,1115) = ( 507 × 1115 ) / 1
LCM(507,1115) = 565305 / 1
LCM(507,1115) = 565305
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FAQs on GCF of Fractions of 7897/507, 8822/1115
1. What is the HCF of 7897,8822?
The HCF of 7897,8822 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 7897/507, 8822/1115?
Answer: GCF of Numerators as per given numbers 7897/507, 8822/1115 is
GCF of Numerators i.e. for 7897,8822 is 1
LCM of denominators i.e. for 507,1115 is 565305.
Thus, GCF of Fractions is 1/565305.Finally, GCF of Fractions for 7897/507, 8822/1115 is 1/565305.