GCF of 7674/799, 6938/5280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7674/799, 6938/5280 i.e 2/4218720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7674/799, 6938/5280.
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 7674/799,6938/5280?
Given fractions are 7674/799,6938/5280
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 7674/799,6938/5280, numerators are 7674,6938
Denominators are 799,5280
The GCF of 7674,6938 is 2 .
LCM of 799,5280 is 4218720.
The greatest common factor of 7674/799,6938/5280 = [GCF of 7674,6938]/[LCM of 799,5280]= 2/4218720
Therefore, the GCF of 7674/799,6938/5280 is 2/4218720.
To find the highest common factor of 7674,6938, we have to find the factors of both numbers and list the highest common factor.
The factors of 7674 are 1, 2, 3, 6, 1279, 2558, 3837, 7674
The factors of 6938 are 1, 2, 3469, 6938
The HCF of 7674,6938 is 2.
Lets's calculate GCF of 7674,6938
| 2 | 7674, 6938 |
| 3837, 3469 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7674,6938 By Matching Biggest Common Factor Method
Now, list down the factors of 7674
:1,2,3,6,1279,2558,3837,7674
Now, list down the factors of 6938
:1,2,3469,6938
Greatest Common Factor
We found the factors 7674,6938 . The biggest common factor number is the GCF number.
So the greatest common factor 7674,6938 is 2.
Lets's calculate LCM of 799,5280
Given numbers has no common factors except 1. So, there LCM is their product i.e 4218720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4218720
Therefore, the GCF of Fractions 7674/799,6938/5280 is 2/4218720
Least Common Multiple of 799,5280 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 799,5280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(799,5280) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(799,5280) x common factors =1 x 1 = 1
LCM(799,5280) = ( 799 × 5280 ) / 1
LCM(799,5280) = 4218720 / 1
LCM(799,5280) = 4218720
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FAQs on GCF of Fractions of 7674/799, 6938/5280
1. What is the HCF of 7674,6938?
The HCF of 7674,6938 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 7674/799, 6938/5280?
Answer: GCF of Numerators as per given numbers 7674/799, 6938/5280 is
GCF of Numerators i.e. for 7674,6938 is 2
LCM of denominators i.e. for 799,5280 is 4218720.
Thus, GCF of Fractions is 2/4218720.Finally, GCF of Fractions for 7674/799, 6938/5280 is 2/4218720.