GCF of 4304/421, 7072/8320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4304/421, 7072/8320 i.e 16/3502720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4304/421, 7072/8320.
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 4304/421,7072/8320?
Given fractions are 4304/421,7072/8320
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 4304/421,7072/8320, numerators are 4304,7072
Denominators are 421,8320
The GCF of 4304,7072 is 16 .
LCM of 421,8320 is 3502720.
The greatest common factor of 4304/421,7072/8320 = [GCF of 4304,7072]/[LCM of 421,8320]= 16/3502720
Therefore, the GCF of 4304/421,7072/8320 is 16/3502720.
To find the highest common factor of 4304,7072, we have to find the factors of both numbers and list the highest common factor.
The factors of 4304 are 1, 2, 4, 8, 16, 269, 538, 1076, 2152, 4304
The factors of 7072 are 1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 68, 104, 136, 208, 221, 272, 416, 442, 544, 884, 1768, 3536, 7072
The HCF of 4304,7072 is 16.
Lets's calculate GCF of 4304,7072
| 2 | 4304, 7072 |
| 2 | 2152, 3536 |
| 2 | 1076, 1768 |
| 2 | 538, 884 |
| 269, 442 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 4304,7072 By Matching Biggest Common Factor Method
Now, list down the factors of 4304
:1,2,4,8,16,269,538,1076,2152,4304
Now, list down the factors of 7072
:1,2,4,8,13,16,17,26,32,34,52,68,104,136,208,221,272,416,442,544,884,1768,3536,7072
Greatest Common Factor
We found the factors 4304,7072 . The biggest common factor number is the GCF number.
So the greatest common factor 4304,7072 is 16.
Lets's calculate LCM of 421,8320
Given numbers has no common factors except 1. So, there LCM is their product i.e 3502720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/3502720
Therefore, the GCF of Fractions 4304/421,7072/8320 is 16/3502720
Least Common Multiple of 421,8320 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 421,8320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,8320) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,8320) x common factors =1 x 1 = 1
LCM(421,8320) = ( 421 × 8320 ) / 1
LCM(421,8320) = 3502720 / 1
LCM(421,8320) = 3502720
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FAQs on GCF of Fractions of 4304/421, 7072/8320
1. What is the HCF of 4304,7072?
The HCF of 4304,7072 is 16
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 4304/421, 7072/8320?
Answer: GCF of Numerators as per given numbers 4304/421, 7072/8320 is
GCF of Numerators i.e. for 4304,7072 is 16
LCM of denominators i.e. for 421,8320 is 3502720.
Thus, GCF of Fractions is 16/3502720.Finally, GCF of Fractions for 4304/421, 7072/8320 is 16/3502720.