GCF of 8626/245, 5662/3584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8626/245, 5662/3584 i.e 38/125440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8626/245, 5662/3584.
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 8626/245,5662/3584?
Given fractions are 8626/245,5662/3584
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 8626/245,5662/3584, numerators are 8626,5662
Denominators are 245,3584
The GCF of 8626,5662 is 38 .
LCM of 245,3584 is 125440.
The greatest common factor of 8626/245,5662/3584 = [GCF of 8626,5662]/[LCM of 245,3584]= 38/125440
Therefore, the GCF of 8626/245,5662/3584 is 38/125440.
To find the highest common factor of 8626,5662, 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 5662 are 1, 2, 19, 38, 149, 298, 2831, 5662
The HCF of 8626,5662 is 38.
Lets's calculate GCF of 8626,5662
| 2 | 8626, 5662 |
| 19 | 4313, 2831 |
| 227, 149 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 8626,5662 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 5662
:1,2,19,38,149,298,2831,5662
Greatest Common Factor
We found the factors 8626,5662 . The biggest common factor number is the GCF number.
So the greatest common factor 8626,5662 is 38.
Lets's calculate LCM of 245,3584
| 7 | 245, 3584 |
| 35, 512 |
∴ So the LCM of the given numbers is 7 x 35 x 512 = 125440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/125440
Therefore, the GCF of Fractions 8626/245,5662/3584 is 38/125440
Least Common Multiple of 245,3584 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 245,3584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,3584) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(245,3584) x common factors =7 x 1 = 7
LCM(245,3584) = ( 245 × 3584 ) / 7
LCM(245,3584) = 878080 / 7
LCM(245,3584) = 125440
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FAQs on GCF of Fractions of 8626/245, 5662/3584
1. What is the HCF of 8626,5662?
The HCF of 8626,5662 is 38
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 8626/245, 5662/3584?
Answer: GCF of Numerators as per given numbers 8626/245, 5662/3584 is
GCF of Numerators i.e. for 8626,5662 is 38
LCM of denominators i.e. for 245,3584 is 125440.
Thus, GCF of Fractions is 38/125440.Finally, GCF of Fractions for 8626/245, 5662/3584 is 38/125440.