GCF of 7119/991, 2270/4982
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7119/991, 2270/4982 i.e 1/4937162 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7119/991, 2270/4982.
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 7119/991,2270/4982?
Given fractions are 7119/991,2270/4982
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 7119/991,2270/4982, numerators are 7119,2270
Denominators are 991,4982
The GCF of 7119,2270 is 1 .
LCM of 991,4982 is 4937162.
The greatest common factor of 7119/991,2270/4982 = [GCF of 7119,2270]/[LCM of 991,4982]= 1/4937162
Therefore, the GCF of 7119/991,2270/4982 is 1/4937162.
To find the highest common factor of 7119,2270, we have to find the factors of both numbers and list the highest common factor.
The factors of 7119 are 1, 3, 7, 9, 21, 63, 113, 339, 791, 1017, 2373, 7119
The factors of 2270 are 1, 2, 5, 10, 227, 454, 1135, 2270
The HCF of 7119,2270 is 1.
Lets's calculate GCF of 7119,2270
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7119,2270 By Matching Biggest Common Factor Method
Now, list down the factors of 7119
:1,3,7,9,21,63,113,339,791,1017,2373,7119
Now, list down the factors of 2270
:1,2,5,10,227,454,1135,2270
Greatest Common Factor
We found the factors 7119,2270 . The biggest common factor number is the GCF number.
So the greatest common factor 7119,2270 is 1.
Lets's calculate LCM of 991,4982
Given numbers has no common factors except 1. So, there LCM is their product i.e 4937162
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4937162
Therefore, the GCF of Fractions 7119/991,2270/4982 is 1/4937162
Least Common Multiple of 991,4982 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 991,4982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,4982) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(991,4982) x common factors =1 x 1 = 1
LCM(991,4982) = ( 991 × 4982 ) / 1
LCM(991,4982) = 4937162 / 1
LCM(991,4982) = 4937162
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FAQs on GCF of Fractions of 7119/991, 2270/4982
1. What is the HCF of 7119,2270?
The HCF of 7119,2270 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 7119/991, 2270/4982?
Answer: GCF of Numerators as per given numbers 7119/991, 2270/4982 is
GCF of Numerators i.e. for 7119,2270 is 1
LCM of denominators i.e. for 991,4982 is 4937162.
Thus, GCF of Fractions is 1/4937162.Finally, GCF of Fractions for 7119/991, 2270/4982 is 1/4937162.