GCF of 8351/126, 1298/1335
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8351/126, 1298/1335 i.e 1/56070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8351/126, 1298/1335.
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 8351/126,1298/1335?
Given fractions are 8351/126,1298/1335
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 8351/126,1298/1335, numerators are 8351,1298
Denominators are 126,1335
The GCF of 8351,1298 is 1 .
LCM of 126,1335 is 56070.
The greatest common factor of 8351/126,1298/1335 = [GCF of 8351,1298]/[LCM of 126,1335]= 1/56070
Therefore, the GCF of 8351/126,1298/1335 is 1/56070.
To find the highest common factor of 8351,1298, we have to find the factors of both numbers and list the highest common factor.
The factors of 8351 are 1, 7, 1193, 8351
The factors of 1298 are 1, 2, 11, 22, 59, 118, 649, 1298
The HCF of 8351,1298 is 1.
Lets's calculate GCF of 8351,1298
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8351,1298 By Matching Biggest Common Factor Method
Now, list down the factors of 8351
:1,7,1193,8351
Now, list down the factors of 1298
:1,2,11,22,59,118,649,1298
Greatest Common Factor
We found the factors 8351,1298 . The biggest common factor number is the GCF number.
So the greatest common factor 8351,1298 is 1.
Lets's calculate LCM of 126,1335
| 3 | 126, 1335 |
| 42, 445 |
∴ So the LCM of the given numbers is 3 x 42 x 445 = 56070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56070
Therefore, the GCF of Fractions 8351/126,1298/1335 is 1/56070
Least Common Multiple of 126,1335 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 126,1335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(126,1335) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(126,1335) x common factors =3 x 1 = 3
LCM(126,1335) = ( 126 × 1335 ) / 3
LCM(126,1335) = 168210 / 3
LCM(126,1335) = 56070
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FAQs on GCF of Fractions of 8351/126, 1298/1335
1. What is the HCF of 8351,1298?
The HCF of 8351,1298 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 8351/126, 1298/1335?
Answer: GCF of Numerators as per given numbers 8351/126, 1298/1335 is
GCF of Numerators i.e. for 8351,1298 is 1
LCM of denominators i.e. for 126,1335 is 56070.
Thus, GCF of Fractions is 1/56070.Finally, GCF of Fractions for 8351/126, 1298/1335 is 1/56070.