GCF of 9440/411, 7530/714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9440/411, 7530/714 i.e 10/97818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9440/411, 7530/714.
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 9440/411,7530/714?
Given fractions are 9440/411,7530/714
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 9440/411,7530/714, numerators are 9440,7530
Denominators are 411,714
The GCF of 9440,7530 is 10 .
LCM of 411,714 is 97818.
The greatest common factor of 9440/411,7530/714 = [GCF of 9440,7530]/[LCM of 411,714]= 10/97818
Therefore, the GCF of 9440/411,7530/714 is 10/97818.
To find the highest common factor of 9440,7530, we have to find the factors of both numbers and list the highest common factor.
The factors of 9440 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 59, 80, 118, 160, 236, 295, 472, 590, 944, 1180, 1888, 2360, 4720, 9440
The factors of 7530 are 1, 2, 3, 5, 6, 10, 15, 30, 251, 502, 753, 1255, 1506, 2510, 3765, 7530
The HCF of 9440,7530 is 10.
Lets's calculate GCF of 9440,7530
| 2 | 9440, 7530 |
| 5 | 4720, 3765 |
| 944, 753 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9440,7530 By Matching Biggest Common Factor Method
Now, list down the factors of 9440
:1,2,4,5,8,10,16,20,32,40,59,80,118,160,236,295,472,590,944,1180,1888,2360,4720,9440
Now, list down the factors of 7530
:1,2,3,5,6,10,15,30,251,502,753,1255,1506,2510,3765,7530
Greatest Common Factor
We found the factors 9440,7530 . The biggest common factor number is the GCF number.
So the greatest common factor 9440,7530 is 10.
Lets's calculate LCM of 411,714
| 3 | 411, 714 |
| 137, 238 |
∴ So the LCM of the given numbers is 3 x 137 x 238 = 97818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/97818
Therefore, the GCF of Fractions 9440/411,7530/714 is 10/97818
Least Common Multiple of 411,714 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 411,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(411,714) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(411,714) x common factors =3 x 1 = 3
LCM(411,714) = ( 411 × 714 ) / 3
LCM(411,714) = 293454 / 3
LCM(411,714) = 97818
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FAQs on GCF of Fractions of 9440/411, 7530/714
1. What is the HCF of 9440,7530?
The HCF of 9440,7530 is 10
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 9440/411, 7530/714?
Answer: GCF of Numerators as per given numbers 9440/411, 7530/714 is
GCF of Numerators i.e. for 9440,7530 is 10
LCM of denominators i.e. for 411,714 is 97818.
Thus, GCF of Fractions is 10/97818.Finally, GCF of Fractions for 9440/411, 7530/714 is 10/97818.