GCF of 3533/722, 6967/7698
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3533/722, 6967/7698 i.e 1/2778978 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3533/722, 6967/7698.
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 3533/722,6967/7698?
Given fractions are 3533/722,6967/7698
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 3533/722,6967/7698, numerators are 3533,6967
Denominators are 722,7698
The GCF of 3533,6967 is 1 .
LCM of 722,7698 is 2778978.
The greatest common factor of 3533/722,6967/7698 = [GCF of 3533,6967]/[LCM of 722,7698]= 1/2778978
Therefore, the GCF of 3533/722,6967/7698 is 1/2778978.
To find the highest common factor of 3533,6967, we have to find the factors of both numbers and list the highest common factor.
The factors of 3533 are 1, 3533
The factors of 6967 are 1, 6967
The HCF of 3533,6967 is 1.
Lets's calculate GCF of 3533,6967
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3533,6967 By Matching Biggest Common Factor Method
Now, list down the factors of 3533
:1,3533
Now, list down the factors of 6967
:1,6967
Greatest Common Factor
We found the factors 3533,6967 . The biggest common factor number is the GCF number.
So the greatest common factor 3533,6967 is 1.
Lets's calculate LCM of 722,7698
| 2 | 722, 7698 |
| 361, 3849 |
∴ So the LCM of the given numbers is 2 x 361 x 3849 = 2778978
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2778978
Therefore, the GCF of Fractions 3533/722,6967/7698 is 1/2778978
Least Common Multiple of 722,7698 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 722,7698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,7698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,7698) x common factors =2 x 1 = 2
LCM(722,7698) = ( 722 × 7698 ) / 2
LCM(722,7698) = 5557956 / 2
LCM(722,7698) = 2778978
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FAQs on GCF of Fractions of 3533/722, 6967/7698
1. What is the HCF of 3533,6967?
The HCF of 3533,6967 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 3533/722, 6967/7698?
Answer: GCF of Numerators as per given numbers 3533/722, 6967/7698 is
GCF of Numerators i.e. for 3533,6967 is 1
LCM of denominators i.e. for 722,7698 is 2778978.
Thus, GCF of Fractions is 1/2778978.Finally, GCF of Fractions for 3533/722, 6967/7698 is 1/2778978.