GCF of 4759/970, 3898/6722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4759/970, 3898/6722 i.e 1/3260170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4759/970, 3898/6722.
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 4759/970,3898/6722?
Given fractions are 4759/970,3898/6722
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 4759/970,3898/6722, numerators are 4759,3898
Denominators are 970,6722
The GCF of 4759,3898 is 1 .
LCM of 970,6722 is 3260170.
The greatest common factor of 4759/970,3898/6722 = [GCF of 4759,3898]/[LCM of 970,6722]= 1/3260170
Therefore, the GCF of 4759/970,3898/6722 is 1/3260170.
To find the highest common factor of 4759,3898, we have to find the factors of both numbers and list the highest common factor.
The factors of 4759 are 1, 4759
The factors of 3898 are 1, 2, 1949, 3898
The HCF of 4759,3898 is 1.
Lets's calculate GCF of 4759,3898
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4759,3898 By Matching Biggest Common Factor Method
Now, list down the factors of 4759
:1,4759
Now, list down the factors of 3898
:1,2,1949,3898
Greatest Common Factor
We found the factors 4759,3898 . The biggest common factor number is the GCF number.
So the greatest common factor 4759,3898 is 1.
Lets's calculate LCM of 970,6722
| 2 | 970, 6722 |
| 485, 3361 |
∴ So the LCM of the given numbers is 2 x 485 x 3361 = 3260170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3260170
Therefore, the GCF of Fractions 4759/970,3898/6722 is 1/3260170
Least Common Multiple of 970,6722 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 970,6722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,6722) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(970,6722) x common factors =2 x 1 = 2
LCM(970,6722) = ( 970 × 6722 ) / 2
LCM(970,6722) = 6520340 / 2
LCM(970,6722) = 3260170
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FAQs on GCF of Fractions of 4759/970, 3898/6722
1. What is the HCF of 4759,3898?
The HCF of 4759,3898 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 4759/970, 3898/6722?
Answer: GCF of Numerators as per given numbers 4759/970, 3898/6722 is
GCF of Numerators i.e. for 4759,3898 is 1
LCM of denominators i.e. for 970,6722 is 3260170.
Thus, GCF of Fractions is 1/3260170.Finally, GCF of Fractions for 4759/970, 3898/6722 is 1/3260170.