GCF of 347/642, 512/401, 709/351
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 347/642, 512/401, 709/351 i.e 1/30120714 easily. The following is the detailed procedure to determine the greatest common factor of fractions 347/642, 512/401, 709/351.
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 347/642,512/401,709/351?
Given fractions are 347/642,512/401,709/351
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 347/642,512/401,709/351, numerators are 347,512,709
Denominators are 642,401,351
The GCF of 347,512,709 is 1 .
LCM of 642,401,351 is 30120714.
The greatest common factor of 347/642,512/401,709/351 = [GCF of 347,512,709]/[LCM of 642,401,351]= 1/30120714
Therefore, the GCF of 347/642,512/401,709/351 is 1/30120714.
To find the highest common factor of 347,512,709, we have to find the factors of both numbers and list the highest common factor.
The factors of 347 are 1, 347
The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
The factors of 709 are 1, 709
The HCF of 347,512,709 is 1.
Lets's calculate GCF of 347,512,709
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 347,512,709 By Matching Biggest Common Factor Method
Now, list down the factors of 347
:1,347
Now, list down the factors of 512
:1,2,4,8,16,32,64,128,256,512
Now, list down the factors of 709
:1,709
Greatest Common Factor
We found the factors 347,512,709 . The biggest common factor number is the GCF number.
So the greatest common factor 347,512,709 is 1.
Lets's calculate LCM of 642,401,351
| 3 | 642, 401, 351 |
| 214, 401, 117 |
∴ So the LCM of the given numbers is 3 x 214 x 401 x 117 = 30120714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30120714
Therefore, the GCF of Fractions 347/642,512/401,709/351 is 1/30120714
Least Common Multiple of 642,401,351 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 642,401,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,401,351) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(642,401,351) x common factors =1 x 3 = 3
LCM(642,401,351) = ( 642 × 401 × 351 ) / 3
LCM(642,401,351) = 90362142 / 3
LCM(642,401,351) = 30120714
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FAQs on GCF of Fractions of 347/642, 512/401, 709/351
1. What is the HCF of 347,512,709?
The HCF of 347,512,709 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 347/642, 512/401, 709/351?
Answer: GCF of Numerators as per given numbers 347/642, 512/401, 709/351 is
GCF of Numerators i.e. for 347,512,709 is 1
LCM of denominators i.e. for 642,401,351 is 30120714.
Thus, GCF of Fractions is 1/30120714.Finally, GCF of Fractions for 347/642, 512/401, 709/351 is 1/30120714.