GCF of 7072/418, 5408/8289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7072/418, 5408/8289 i.e 416/3464802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7072/418, 5408/8289.
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 7072/418,5408/8289?
Given fractions are 7072/418,5408/8289
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 7072/418,5408/8289, numerators are 7072,5408
Denominators are 418,8289
The GCF of 7072,5408 is 416 .
LCM of 418,8289 is 3464802.
The greatest common factor of 7072/418,5408/8289 = [GCF of 7072,5408]/[LCM of 418,8289]= 416/3464802
Therefore, the GCF of 7072/418,5408/8289 is 416/3464802.
To find the highest common factor of 7072,5408, we have to find the factors of both numbers and list the highest common factor.
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 factors of 5408 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 169, 208, 338, 416, 676, 1352, 2704, 5408
The HCF of 7072,5408 is 416.
Lets's calculate GCF of 7072,5408
| 2 | 7072, 5408 |
| 2 | 3536, 2704 |
| 2 | 1768, 1352 |
| 2 | 884, 676 |
| 2 | 442, 338 |
| 13 | 221, 169 |
| 17, 13 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 13 = 416
Greatest Common Factor of 7072,5408 By Matching Biggest Common Factor Method
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
Now, list down the factors of 5408
:1,2,4,8,13,16,26,32,52,104,169,208,338,416,676,1352,2704,5408
Greatest Common Factor
We found the factors 7072,5408 . The biggest common factor number is the GCF number.
So the greatest common factor 7072,5408 is 416.
Lets's calculate LCM of 418,8289
Given numbers has no common factors except 1. So, there LCM is their product i.e 3464802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 416/3464802
Therefore, the GCF of Fractions 7072/418,5408/8289 is 416/3464802
Least Common Multiple of 418,8289 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 418,8289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,8289) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(418,8289) x common factors =1 x 1 = 1
LCM(418,8289) = ( 418 × 8289 ) / 1
LCM(418,8289) = 3464802 / 1
LCM(418,8289) = 3464802
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FAQs on GCF of Fractions of 7072/418, 5408/8289
1. What is the HCF of 7072,5408?
The HCF of 7072,5408 is 416
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 7072/418, 5408/8289?
Answer: GCF of Numerators as per given numbers 7072/418, 5408/8289 is
GCF of Numerators i.e. for 7072,5408 is 416
LCM of denominators i.e. for 418,8289 is 3464802.
Thus, GCF of Fractions is 416/3464802.Finally, GCF of Fractions for 7072/418, 5408/8289 is 416/3464802.