GCF of 7301/210, 1372/4637
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7301/210, 1372/4637 i.e 49/973770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7301/210, 1372/4637.
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 7301/210,1372/4637?
Given fractions are 7301/210,1372/4637
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 7301/210,1372/4637, numerators are 7301,1372
Denominators are 210,4637
The GCF of 7301,1372 is 49 .
LCM of 210,4637 is 973770.
The greatest common factor of 7301/210,1372/4637 = [GCF of 7301,1372]/[LCM of 210,4637]= 49/973770
Therefore, the GCF of 7301/210,1372/4637 is 49/973770.
To find the highest common factor of 7301,1372, we have to find the factors of both numbers and list the highest common factor.
The factors of 7301 are 1, 7, 49, 149, 1043, 7301
The factors of 1372 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372
The HCF of 7301,1372 is 49.
Lets's calculate GCF of 7301,1372
| 7 | 7301, 1372 |
| 7 | 1043, 196 |
| 149, 28 |
∴ So the GCF of the given numbers is 7 x 7 = 49
Greatest Common Factor of 7301,1372 By Matching Biggest Common Factor Method
Now, list down the factors of 7301
:1,7,49,149,1043,7301
Now, list down the factors of 1372
:1,2,4,7,14,28,49,98,196,343,686,1372
Greatest Common Factor
We found the factors 7301,1372 . The biggest common factor number is the GCF number.
So the greatest common factor 7301,1372 is 49.
Lets's calculate LCM of 210,4637
Given numbers has no common factors except 1. So, there LCM is their product i.e 973770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/973770
Therefore, the GCF of Fractions 7301/210,1372/4637 is 49/973770
Least Common Multiple of 210,4637 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 210,4637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,4637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(210,4637) x common factors =1 x 1 = 1
LCM(210,4637) = ( 210 × 4637 ) / 1
LCM(210,4637) = 973770 / 1
LCM(210,4637) = 973770
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FAQs on GCF of Fractions of 7301/210, 1372/4637
1. What is the HCF of 7301,1372?
The HCF of 7301,1372 is 49
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 7301/210, 1372/4637?
Answer: GCF of Numerators as per given numbers 7301/210, 1372/4637 is
GCF of Numerators i.e. for 7301,1372 is 49
LCM of denominators i.e. for 210,4637 is 973770.
Thus, GCF of Fractions is 49/973770.Finally, GCF of Fractions for 7301/210, 1372/4637 is 49/973770.