GCF of 3446/702, 5333/374
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3446/702, 5333/374 i.e 1/131274 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3446/702, 5333/374.
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 3446/702,5333/374?
Given fractions are 3446/702,5333/374
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 3446/702,5333/374, numerators are 3446,5333
Denominators are 702,374
The GCF of 3446,5333 is 1 .
LCM of 702,374 is 131274.
The greatest common factor of 3446/702,5333/374 = [GCF of 3446,5333]/[LCM of 702,374]= 1/131274
Therefore, the GCF of 3446/702,5333/374 is 1/131274.
To find the highest common factor of 3446,5333, we have to find the factors of both numbers and list the highest common factor.
The factors of 3446 are 1, 2, 1723, 3446
The factors of 5333 are 1, 5333
The HCF of 3446,5333 is 1.
Lets's calculate GCF of 3446,5333
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3446,5333 By Matching Biggest Common Factor Method
Now, list down the factors of 3446
:1,2,1723,3446
Now, list down the factors of 5333
:1,5333
Greatest Common Factor
We found the factors 3446,5333 . The biggest common factor number is the GCF number.
So the greatest common factor 3446,5333 is 1.
Lets's calculate LCM of 702,374
| 2 | 702, 374 |
| 351, 187 |
∴ So the LCM of the given numbers is 2 x 351 x 187 = 131274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131274
Therefore, the GCF of Fractions 3446/702,5333/374 is 1/131274
Least Common Multiple of 702,374 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 702,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,374) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(702,374) x common factors =2 x 1 = 2
LCM(702,374) = ( 702 × 374 ) / 2
LCM(702,374) = 262548 / 2
LCM(702,374) = 131274
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FAQs on GCF of Fractions of 3446/702, 5333/374
1. What is the HCF of 3446,5333?
The HCF of 3446,5333 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 3446/702, 5333/374?
Answer: GCF of Numerators as per given numbers 3446/702, 5333/374 is
GCF of Numerators i.e. for 3446,5333 is 1
LCM of denominators i.e. for 702,374 is 131274.
Thus, GCF of Fractions is 1/131274.Finally, GCF of Fractions for 3446/702, 5333/374 is 1/131274.