GCF of 7874/697, 6371/369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7874/697, 6371/369 i.e 1/6273 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7874/697, 6371/369.
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 7874/697,6371/369?
Given fractions are 7874/697,6371/369
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 7874/697,6371/369, numerators are 7874,6371
Denominators are 697,369
The GCF of 7874,6371 is 1 .
LCM of 697,369 is 6273.
The greatest common factor of 7874/697,6371/369 = [GCF of 7874,6371]/[LCM of 697,369]= 1/6273
Therefore, the GCF of 7874/697,6371/369 is 1/6273.
To find the highest common factor of 7874,6371, we have to find the factors of both numbers and list the highest common factor.
The factors of 7874 are 1, 2, 31, 62, 127, 254, 3937, 7874
The factors of 6371 are 1, 23, 277, 6371
The HCF of 7874,6371 is 1.
Lets's calculate GCF of 7874,6371
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7874,6371 By Matching Biggest Common Factor Method
Now, list down the factors of 7874
:1,2,31,62,127,254,3937,7874
Now, list down the factors of 6371
:1,23,277,6371
Greatest Common Factor
We found the factors 7874,6371 . The biggest common factor number is the GCF number.
So the greatest common factor 7874,6371 is 1.
Lets's calculate LCM of 697,369
| 41 | 697, 369 |
| 17, 9 |
∴ So the LCM of the given numbers is 41 x 17 x 9 = 6273
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6273
Therefore, the GCF of Fractions 7874/697,6371/369 is 1/6273
Least Common Multiple of 697,369 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 697,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,369) = 41
common factors(in case of two or more numbers have common factors) = 1
GCF(697,369) x common factors =41 x 1 = 41
LCM(697,369) = ( 697 × 369 ) / 41
LCM(697,369) = 257193 / 41
LCM(697,369) = 6273
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FAQs on GCF of Fractions of 7874/697, 6371/369
1. What is the HCF of 7874,6371?
The HCF of 7874,6371 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 7874/697, 6371/369?
Answer: GCF of Numerators as per given numbers 7874/697, 6371/369 is
GCF of Numerators i.e. for 7874,6371 is 1
LCM of denominators i.e. for 697,369 is 6273.
Thus, GCF of Fractions is 1/6273.Finally, GCF of Fractions for 7874/697, 6371/369 is 1/6273.