GCF of 9624/902, 8540/746
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9624/902, 8540/746 i.e 4/336446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9624/902, 8540/746.
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 9624/902,8540/746?
Given fractions are 9624/902,8540/746
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 9624/902,8540/746, numerators are 9624,8540
Denominators are 902,746
The GCF of 9624,8540 is 4 .
LCM of 902,746 is 336446.
The greatest common factor of 9624/902,8540/746 = [GCF of 9624,8540]/[LCM of 902,746]= 4/336446
Therefore, the GCF of 9624/902,8540/746 is 4/336446.
To find the highest common factor of 9624,8540, we have to find the factors of both numbers and list the highest common factor.
The factors of 9624 are 1, 2, 3, 4, 6, 8, 12, 24, 401, 802, 1203, 1604, 2406, 3208, 4812, 9624
The factors of 8540 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 61, 70, 122, 140, 244, 305, 427, 610, 854, 1220, 1708, 2135, 4270, 8540
The HCF of 9624,8540 is 4.
Lets's calculate GCF of 9624,8540
| 2 | 9624, 8540 |
| 2 | 4812, 4270 |
| 2406, 2135 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9624,8540 By Matching Biggest Common Factor Method
Now, list down the factors of 9624
:1,2,3,4,6,8,12,24,401,802,1203,1604,2406,3208,4812,9624
Now, list down the factors of 8540
:1,2,4,5,7,10,14,20,28,35,61,70,122,140,244,305,427,610,854,1220,1708,2135,4270,8540
Greatest Common Factor
We found the factors 9624,8540 . The biggest common factor number is the GCF number.
So the greatest common factor 9624,8540 is 4.
Lets's calculate LCM of 902,746
| 2 | 902, 746 |
| 451, 373 |
∴ So the LCM of the given numbers is 2 x 451 x 373 = 336446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/336446
Therefore, the GCF of Fractions 9624/902,8540/746 is 4/336446
Least Common Multiple of 902,746 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 902,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,746) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(902,746) x common factors =2 x 1 = 2
LCM(902,746) = ( 902 × 746 ) / 2
LCM(902,746) = 672892 / 2
LCM(902,746) = 336446
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FAQs on GCF of Fractions of 9624/902, 8540/746
1. What is the HCF of 9624,8540?
The HCF of 9624,8540 is 4
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 9624/902, 8540/746?
Answer: GCF of Numerators as per given numbers 9624/902, 8540/746 is
GCF of Numerators i.e. for 9624,8540 is 4
LCM of denominators i.e. for 902,746 is 336446.
Thus, GCF of Fractions is 4/336446.Finally, GCF of Fractions for 9624/902, 8540/746 is 4/336446.