GCF of 1346/801, 7135/2112
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1346/801, 7135/2112 i.e 1/563904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1346/801, 7135/2112.
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 1346/801,7135/2112?
Given fractions are 1346/801,7135/2112
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 1346/801,7135/2112, numerators are 1346,7135
Denominators are 801,2112
The GCF of 1346,7135 is 1 .
LCM of 801,2112 is 563904.
The greatest common factor of 1346/801,7135/2112 = [GCF of 1346,7135]/[LCM of 801,2112]= 1/563904
Therefore, the GCF of 1346/801,7135/2112 is 1/563904.
To find the highest common factor of 1346,7135, we have to find the factors of both numbers and list the highest common factor.
The factors of 1346 are 1, 2, 673, 1346
The factors of 7135 are 1, 5, 1427, 7135
The HCF of 1346,7135 is 1.
Lets's calculate GCF of 1346,7135
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1346,7135 By Matching Biggest Common Factor Method
Now, list down the factors of 1346
:1,2,673,1346
Now, list down the factors of 7135
:1,5,1427,7135
Greatest Common Factor
We found the factors 1346,7135 . The biggest common factor number is the GCF number.
So the greatest common factor 1346,7135 is 1.
Lets's calculate LCM of 801,2112
| 3 | 801, 2112 |
| 267, 704 |
∴ So the LCM of the given numbers is 3 x 267 x 704 = 563904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/563904
Therefore, the GCF of Fractions 1346/801,7135/2112 is 1/563904
Least Common Multiple of 801,2112 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 801,2112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(801,2112) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(801,2112) x common factors =3 x 1 = 3
LCM(801,2112) = ( 801 × 2112 ) / 3
LCM(801,2112) = 1691712 / 3
LCM(801,2112) = 563904
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FAQs on GCF of Fractions of 1346/801, 7135/2112
1. What is the HCF of 1346,7135?
The HCF of 1346,7135 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 1346/801, 7135/2112?
Answer: GCF of Numerators as per given numbers 1346/801, 7135/2112 is
GCF of Numerators i.e. for 1346,7135 is 1
LCM of denominators i.e. for 801,2112 is 563904.
Thus, GCF of Fractions is 1/563904.Finally, GCF of Fractions for 1346/801, 7135/2112 is 1/563904.