GCF of 7391/700, 4693/300
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7391/700, 4693/300 i.e 19/2100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7391/700, 4693/300.
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 7391/700,4693/300?
Given fractions are 7391/700,4693/300
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 7391/700,4693/300, numerators are 7391,4693
Denominators are 700,300
The GCF of 7391,4693 is 19 .
LCM of 700,300 is 2100.
The greatest common factor of 7391/700,4693/300 = [GCF of 7391,4693]/[LCM of 700,300]= 19/2100
Therefore, the GCF of 7391/700,4693/300 is 19/2100.
To find the highest common factor of 7391,4693, we have to find the factors of both numbers and list the highest common factor.
The factors of 7391 are 1, 19, 389, 7391
The factors of 4693 are 1, 13, 19, 247, 361, 4693
The HCF of 7391,4693 is 19.
Lets's calculate GCF of 7391,4693
| 19 | 7391, 4693 |
| 389, 247 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 7391,4693 By Matching Biggest Common Factor Method
Now, list down the factors of 7391
:1,19,389,7391
Now, list down the factors of 4693
:1,13,19,247,361,4693
Greatest Common Factor
We found the factors 7391,4693 . The biggest common factor number is the GCF number.
So the greatest common factor 7391,4693 is 19.
Lets's calculate LCM of 700,300
| 2 | 700, 300 |
| 2 | 350, 150 |
| 5 | 175, 75 |
| 5 | 35, 15 |
| 7, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 7 x 3 = 2100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/2100
Therefore, the GCF of Fractions 7391/700,4693/300 is 19/2100
Least Common Multiple of 700,300 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 700,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,300) = 100
common factors(in case of two or more numbers have common factors) = 1
GCF(700,300) x common factors =100 x 1 = 100
LCM(700,300) = ( 700 × 300 ) / 100
LCM(700,300) = 210000 / 100
LCM(700,300) = 2100
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FAQs on GCF of Fractions of 7391/700, 4693/300
1. What is the HCF of 7391,4693?
The HCF of 7391,4693 is 19
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 7391/700, 4693/300?
Answer: GCF of Numerators as per given numbers 7391/700, 4693/300 is
GCF of Numerators i.e. for 7391,4693 is 19
LCM of denominators i.e. for 700,300 is 2100.
Thus, GCF of Fractions is 19/2100.Finally, GCF of Fractions for 7391/700, 4693/300 is 19/2100.