GCF of 6572/345, 7338/918
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6572/345, 7338/918 i.e 2/105570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6572/345, 7338/918.
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 6572/345,7338/918?
Given fractions are 6572/345,7338/918
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 6572/345,7338/918, numerators are 6572,7338
Denominators are 345,918
The GCF of 6572,7338 is 2 .
LCM of 345,918 is 105570.
The greatest common factor of 6572/345,7338/918 = [GCF of 6572,7338]/[LCM of 345,918]= 2/105570
Therefore, the GCF of 6572/345,7338/918 is 2/105570.
To find the highest common factor of 6572,7338, we have to find the factors of both numbers and list the highest common factor.
The factors of 6572 are 1, 2, 4, 31, 53, 62, 106, 124, 212, 1643, 3286, 6572
The factors of 7338 are 1, 2, 3, 6, 1223, 2446, 3669, 7338
The HCF of 6572,7338 is 2.
Lets's calculate GCF of 6572,7338
| 2 | 6572, 7338 |
| 3286, 3669 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6572,7338 By Matching Biggest Common Factor Method
Now, list down the factors of 6572
:1,2,4,31,53,62,106,124,212,1643,3286,6572
Now, list down the factors of 7338
:1,2,3,6,1223,2446,3669,7338
Greatest Common Factor
We found the factors 6572,7338 . The biggest common factor number is the GCF number.
So the greatest common factor 6572,7338 is 2.
Lets's calculate LCM of 345,918
| 3 | 345, 918 |
| 115, 306 |
∴ So the LCM of the given numbers is 3 x 115 x 306 = 105570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/105570
Therefore, the GCF of Fractions 6572/345,7338/918 is 2/105570
Least Common Multiple of 345,918 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 345,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,918) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(345,918) x common factors =3 x 1 = 3
LCM(345,918) = ( 345 × 918 ) / 3
LCM(345,918) = 316710 / 3
LCM(345,918) = 105570
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FAQs on GCF of Fractions of 6572/345, 7338/918
1. What is the HCF of 6572,7338?
The HCF of 6572,7338 is 2
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 6572/345, 7338/918?
Answer: GCF of Numerators as per given numbers 6572/345, 7338/918 is
GCF of Numerators i.e. for 6572,7338 is 2
LCM of denominators i.e. for 345,918 is 105570.
Thus, GCF of Fractions is 2/105570.Finally, GCF of Fractions for 6572/345, 7338/918 is 2/105570.