GCF of 8584/435, 1368/7430
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8584/435, 1368/7430 i.e 8/646410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8584/435, 1368/7430.
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 8584/435,1368/7430?
Given fractions are 8584/435,1368/7430
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 8584/435,1368/7430, numerators are 8584,1368
Denominators are 435,7430
The GCF of 8584,1368 is 8 .
LCM of 435,7430 is 646410.
The greatest common factor of 8584/435,1368/7430 = [GCF of 8584,1368]/[LCM of 435,7430]= 8/646410
Therefore, the GCF of 8584/435,1368/7430 is 8/646410.
To find the highest common factor of 8584,1368, we have to find the factors of both numbers and list the highest common factor.
The factors of 8584 are 1, 2, 4, 8, 29, 37, 58, 74, 116, 148, 232, 296, 1073, 2146, 4292, 8584
The factors of 1368 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684, 1368
The HCF of 8584,1368 is 8.
Lets's calculate GCF of 8584,1368
| 2 | 8584, 1368 |
| 2 | 4292, 684 |
| 2 | 2146, 342 |
| 1073, 171 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 8584,1368 By Matching Biggest Common Factor Method
Now, list down the factors of 8584
:1,2,4,8,29,37,58,74,116,148,232,296,1073,2146,4292,8584
Now, list down the factors of 1368
:1,2,3,4,6,8,9,12,18,19,24,36,38,57,72,76,114,152,171,228,342,456,684,1368
Greatest Common Factor
We found the factors 8584,1368 . The biggest common factor number is the GCF number.
So the greatest common factor 8584,1368 is 8.
Lets's calculate LCM of 435,7430
| 5 | 435, 7430 |
| 87, 1486 |
∴ So the LCM of the given numbers is 5 x 87 x 1486 = 646410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/646410
Therefore, the GCF of Fractions 8584/435,1368/7430 is 8/646410
Least Common Multiple of 435,7430 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 435,7430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,7430) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(435,7430) x common factors =5 x 1 = 5
LCM(435,7430) = ( 435 × 7430 ) / 5
LCM(435,7430) = 3232050 / 5
LCM(435,7430) = 646410
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FAQs on GCF of Fractions of 8584/435, 1368/7430
1. What is the HCF of 8584,1368?
The HCF of 8584,1368 is 8
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 8584/435, 1368/7430?
Answer: GCF of Numerators as per given numbers 8584/435, 1368/7430 is
GCF of Numerators i.e. for 8584,1368 is 8
LCM of denominators i.e. for 435,7430 is 646410.
Thus, GCF of Fractions is 8/646410.Finally, GCF of Fractions for 8584/435, 1368/7430 is 8/646410.