GCF of 6914/464, 2107/3658
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6914/464, 2107/3658 i.e 1/848656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6914/464, 2107/3658.
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 6914/464,2107/3658?
Given fractions are 6914/464,2107/3658
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 6914/464,2107/3658, numerators are 6914,2107
Denominators are 464,3658
The GCF of 6914,2107 is 1 .
LCM of 464,3658 is 848656.
The greatest common factor of 6914/464,2107/3658 = [GCF of 6914,2107]/[LCM of 464,3658]= 1/848656
Therefore, the GCF of 6914/464,2107/3658 is 1/848656.
To find the highest common factor of 6914,2107, we have to find the factors of both numbers and list the highest common factor.
The factors of 6914 are 1, 2, 3457, 6914
The factors of 2107 are 1, 7, 43, 49, 301, 2107
The HCF of 6914,2107 is 1.
Lets's calculate GCF of 6914,2107
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6914,2107 By Matching Biggest Common Factor Method
Now, list down the factors of 6914
:1,2,3457,6914
Now, list down the factors of 2107
:1,7,43,49,301,2107
Greatest Common Factor
We found the factors 6914,2107 . The biggest common factor number is the GCF number.
So the greatest common factor 6914,2107 is 1.
Lets's calculate LCM of 464,3658
| 2 | 464, 3658 |
| 232, 1829 |
∴ So the LCM of the given numbers is 2 x 232 x 1829 = 848656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/848656
Therefore, the GCF of Fractions 6914/464,2107/3658 is 1/848656
Least Common Multiple of 464,3658 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 464,3658 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,3658) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(464,3658) x common factors =2 x 1 = 2
LCM(464,3658) = ( 464 × 3658 ) / 2
LCM(464,3658) = 1697312 / 2
LCM(464,3658) = 848656
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FAQs on GCF of Fractions of 6914/464, 2107/3658
1. What is the HCF of 6914,2107?
The HCF of 6914,2107 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 6914/464, 2107/3658?
Answer: GCF of Numerators as per given numbers 6914/464, 2107/3658 is
GCF of Numerators i.e. for 6914,2107 is 1
LCM of denominators i.e. for 464,3658 is 848656.
Thus, GCF of Fractions is 1/848656.Finally, GCF of Fractions for 6914/464, 2107/3658 is 1/848656.