GCF of 5105/701, 4969/294
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5105/701, 4969/294 i.e 1/206094 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5105/701, 4969/294.
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 5105/701,4969/294?
Given fractions are 5105/701,4969/294
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 5105/701,4969/294, numerators are 5105,4969
Denominators are 701,294
The GCF of 5105,4969 is 1 .
LCM of 701,294 is 206094.
The greatest common factor of 5105/701,4969/294 = [GCF of 5105,4969]/[LCM of 701,294]= 1/206094
Therefore, the GCF of 5105/701,4969/294 is 1/206094.
To find the highest common factor of 5105,4969, we have to find the factors of both numbers and list the highest common factor.
The factors of 5105 are 1, 5, 1021, 5105
The factors of 4969 are 1, 4969
The HCF of 5105,4969 is 1.
Lets's calculate GCF of 5105,4969
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5105,4969 By Matching Biggest Common Factor Method
Now, list down the factors of 5105
:1,5,1021,5105
Now, list down the factors of 4969
:1,4969
Greatest Common Factor
We found the factors 5105,4969 . The biggest common factor number is the GCF number.
So the greatest common factor 5105,4969 is 1.
Lets's calculate LCM of 701,294
Given numbers has no common factors except 1. So, there LCM is their product i.e 206094
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206094
Therefore, the GCF of Fractions 5105/701,4969/294 is 1/206094
Least Common Multiple of 701,294 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 701,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,294) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,294) x common factors =1 x 1 = 1
LCM(701,294) = ( 701 × 294 ) / 1
LCM(701,294) = 206094 / 1
LCM(701,294) = 206094
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FAQs on GCF of Fractions of 5105/701, 4969/294
1. What is the HCF of 5105,4969?
The HCF of 5105,4969 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 5105/701, 4969/294?
Answer: GCF of Numerators as per given numbers 5105/701, 4969/294 is
GCF of Numerators i.e. for 5105,4969 is 1
LCM of denominators i.e. for 701,294 is 206094.
Thus, GCF of Fractions is 1/206094.Finally, GCF of Fractions for 5105/701, 4969/294 is 1/206094.