GCF of 6770/930, 5438/7464
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6770/930, 5438/7464 i.e 2/1156920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6770/930, 5438/7464.
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 6770/930,5438/7464?
Given fractions are 6770/930,5438/7464
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 6770/930,5438/7464, numerators are 6770,5438
Denominators are 930,7464
The GCF of 6770,5438 is 2 .
LCM of 930,7464 is 1156920.
The greatest common factor of 6770/930,5438/7464 = [GCF of 6770,5438]/[LCM of 930,7464]= 2/1156920
Therefore, the GCF of 6770/930,5438/7464 is 2/1156920.
To find the highest common factor of 6770,5438, we have to find the factors of both numbers and list the highest common factor.
The factors of 6770 are 1, 2, 5, 10, 677, 1354, 3385, 6770
The factors of 5438 are 1, 2, 2719, 5438
The HCF of 6770,5438 is 2.
Lets's calculate GCF of 6770,5438
| 2 | 6770, 5438 |
| 3385, 2719 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6770,5438 By Matching Biggest Common Factor Method
Now, list down the factors of 6770
:1,2,5,10,677,1354,3385,6770
Now, list down the factors of 5438
:1,2,2719,5438
Greatest Common Factor
We found the factors 6770,5438 . The biggest common factor number is the GCF number.
So the greatest common factor 6770,5438 is 2.
Lets's calculate LCM of 930,7464
| 2 | 930, 7464 |
| 3 | 465, 3732 |
| 155, 1244 |
∴ So the LCM of the given numbers is 2 x 3 x 155 x 1244 = 1156920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1156920
Therefore, the GCF of Fractions 6770/930,5438/7464 is 2/1156920
Least Common Multiple of 930,7464 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 930,7464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,7464) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(930,7464) x common factors =6 x 1 = 6
LCM(930,7464) = ( 930 × 7464 ) / 6
LCM(930,7464) = 6941520 / 6
LCM(930,7464) = 1156920
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FAQs on GCF of Fractions of 6770/930, 5438/7464
1. What is the HCF of 6770,5438?
The HCF of 6770,5438 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 6770/930, 5438/7464?
Answer: GCF of Numerators as per given numbers 6770/930, 5438/7464 is
GCF of Numerators i.e. for 6770,5438 is 2
LCM of denominators i.e. for 930,7464 is 1156920.
Thus, GCF of Fractions is 2/1156920.Finally, GCF of Fractions for 6770/930, 5438/7464 is 2/1156920.