GCF of 671/26, 319/7870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 671/26, 319/7870 i.e 11/102310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 671/26, 319/7870.
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 671/26,319/7870?
Given fractions are 671/26,319/7870
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 671/26,319/7870, numerators are 671,319
Denominators are 26,7870
The GCF of 671,319 is 11 .
LCM of 26,7870 is 102310.
The greatest common factor of 671/26,319/7870 = [GCF of 671,319]/[LCM of 26,7870]= 11/102310
Therefore, the GCF of 671/26,319/7870 is 11/102310.
To find the highest common factor of 671,319, we have to find the factors of both numbers and list the highest common factor.
The factors of 671 are 1, 11, 61, 671
The factors of 319 are 1, 11, 29, 319
The HCF of 671,319 is 11.
Lets's calculate GCF of 671,319
| 11 | 671, 319 |
| 61, 29 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 671,319 By Matching Biggest Common Factor Method
Now, list down the factors of 671
:1,11,61,671
Now, list down the factors of 319
:1,11,29,319
Greatest Common Factor
We found the factors 671,319 . The biggest common factor number is the GCF number.
So the greatest common factor 671,319 is 11.
Lets's calculate LCM of 26,7870
| 2 | 26, 7870 |
| 13, 3935 |
∴ So the LCM of the given numbers is 2 x 13 x 3935 = 102310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/102310
Therefore, the GCF of Fractions 671/26,319/7870 is 11/102310
Least Common Multiple of 26,7870 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 26,7870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,7870) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(26,7870) x common factors =2 x 1 = 2
LCM(26,7870) = ( 26 × 7870 ) / 2
LCM(26,7870) = 204620 / 2
LCM(26,7870) = 102310
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FAQs on GCF of Fractions of 671/26, 319/7870
1. What is the HCF of 671,319?
The HCF of 671,319 is 11
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 671/26, 319/7870?
Answer: GCF of Numerators as per given numbers 671/26, 319/7870 is
GCF of Numerators i.e. for 671,319 is 11
LCM of denominators i.e. for 26,7870 is 102310.
Thus, GCF of Fractions is 11/102310.Finally, GCF of Fractions for 671/26, 319/7870 is 11/102310.