GCF of 8626/635, 1767/1614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8626/635, 1767/1614 i.e 19/1024890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8626/635, 1767/1614.
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 8626/635,1767/1614?
Given fractions are 8626/635,1767/1614
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 8626/635,1767/1614, numerators are 8626,1767
Denominators are 635,1614
The GCF of 8626,1767 is 19 .
LCM of 635,1614 is 1024890.
The greatest common factor of 8626/635,1767/1614 = [GCF of 8626,1767]/[LCM of 635,1614]= 19/1024890
Therefore, the GCF of 8626/635,1767/1614 is 19/1024890.
To find the highest common factor of 8626,1767, we have to find the factors of both numbers and list the highest common factor.
The factors of 8626 are 1, 2, 19, 38, 227, 454, 4313, 8626
The factors of 1767 are 1, 3, 19, 31, 57, 93, 589, 1767
The HCF of 8626,1767 is 19.
Lets's calculate GCF of 8626,1767
| 19 | 8626, 1767 |
| 454, 93 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 8626,1767 By Matching Biggest Common Factor Method
Now, list down the factors of 8626
:1,2,19,38,227,454,4313,8626
Now, list down the factors of 1767
:1,3,19,31,57,93,589,1767
Greatest Common Factor
We found the factors 8626,1767 . The biggest common factor number is the GCF number.
So the greatest common factor 8626,1767 is 19.
Lets's calculate LCM of 635,1614
Given numbers has no common factors except 1. So, there LCM is their product i.e 1024890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/1024890
Therefore, the GCF of Fractions 8626/635,1767/1614 is 19/1024890
Least Common Multiple of 635,1614 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 635,1614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(635,1614) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(635,1614) x common factors =1 x 1 = 1
LCM(635,1614) = ( 635 × 1614 ) / 1
LCM(635,1614) = 1024890 / 1
LCM(635,1614) = 1024890
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FAQs on GCF of Fractions of 8626/635, 1767/1614
1. What is the HCF of 8626,1767?
The HCF of 8626,1767 is 19
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 8626/635, 1767/1614?
Answer: GCF of Numerators as per given numbers 8626/635, 1767/1614 is
GCF of Numerators i.e. for 8626,1767 is 19
LCM of denominators i.e. for 635,1614 is 1024890.
Thus, GCF of Fractions is 19/1024890.Finally, GCF of Fractions for 8626/635, 1767/1614 is 19/1024890.