GCF of 4701/210, 6951/607
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4701/210, 6951/607 i.e 3/127470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4701/210, 6951/607.
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 4701/210,6951/607?
Given fractions are 4701/210,6951/607
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 4701/210,6951/607, numerators are 4701,6951
Denominators are 210,607
The GCF of 4701,6951 is 3 .
LCM of 210,607 is 127470.
The greatest common factor of 4701/210,6951/607 = [GCF of 4701,6951]/[LCM of 210,607]= 3/127470
Therefore, the GCF of 4701/210,6951/607 is 3/127470.
To find the highest common factor of 4701,6951, we have to find the factors of both numbers and list the highest common factor.
The factors of 4701 are 1, 3, 1567, 4701
The factors of 6951 are 1, 3, 7, 21, 331, 993, 2317, 6951
The HCF of 4701,6951 is 3.
Lets's calculate GCF of 4701,6951
| 3 | 4701, 6951 |
| 1567, 2317 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4701,6951 By Matching Biggest Common Factor Method
Now, list down the factors of 4701
:1,3,1567,4701
Now, list down the factors of 6951
:1,3,7,21,331,993,2317,6951
Greatest Common Factor
We found the factors 4701,6951 . The biggest common factor number is the GCF number.
So the greatest common factor 4701,6951 is 3.
Lets's calculate LCM of 210,607
Given numbers has no common factors except 1. So, there LCM is their product i.e 127470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/127470
Therefore, the GCF of Fractions 4701/210,6951/607 is 3/127470
Least Common Multiple of 210,607 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 210,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(210,607) x common factors =1 x 1 = 1
LCM(210,607) = ( 210 × 607 ) / 1
LCM(210,607) = 127470 / 1
LCM(210,607) = 127470
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FAQs on GCF of Fractions of 4701/210, 6951/607
1. What is the HCF of 4701,6951?
The HCF of 4701,6951 is 3
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 4701/210, 6951/607?
Answer: GCF of Numerators as per given numbers 4701/210, 6951/607 is
GCF of Numerators i.e. for 4701,6951 is 3
LCM of denominators i.e. for 210,607 is 127470.
Thus, GCF of Fractions is 3/127470.Finally, GCF of Fractions for 4701/210, 6951/607 is 3/127470.