GCF of 8320/526, 7264/4190
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8320/526, 7264/4190 i.e 32/1101970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8320/526, 7264/4190.
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 8320/526,7264/4190?
Given fractions are 8320/526,7264/4190
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 8320/526,7264/4190, numerators are 8320,7264
Denominators are 526,4190
The GCF of 8320,7264 is 32 .
LCM of 526,4190 is 1101970.
The greatest common factor of 8320/526,7264/4190 = [GCF of 8320,7264]/[LCM of 526,4190]= 32/1101970
Therefore, the GCF of 8320/526,7264/4190 is 32/1101970.
To find the highest common factor of 8320,7264, we have to find the factors of both numbers and list the highest common factor.
The factors of 8320 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 128, 130, 160, 208, 260, 320, 416, 520, 640, 832, 1040, 1664, 2080, 4160, 8320
The factors of 7264 are 1, 2, 4, 8, 16, 32, 227, 454, 908, 1816, 3632, 7264
The HCF of 8320,7264 is 32.
Lets's calculate GCF of 8320,7264
| 2 | 8320, 7264 |
| 2 | 4160, 3632 |
| 2 | 2080, 1816 |
| 2 | 1040, 908 |
| 2 | 520, 454 |
| 260, 227 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 8320,7264 By Matching Biggest Common Factor Method
Now, list down the factors of 8320
:1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,128,130,160,208,260,320,416,520,640,832,1040,1664,2080,4160,8320
Now, list down the factors of 7264
:1,2,4,8,16,32,227,454,908,1816,3632,7264
Greatest Common Factor
We found the factors 8320,7264 . The biggest common factor number is the GCF number.
So the greatest common factor 8320,7264 is 32.
Lets's calculate LCM of 526,4190
| 2 | 526, 4190 |
| 263, 2095 |
∴ So the LCM of the given numbers is 2 x 263 x 2095 = 1101970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/1101970
Therefore, the GCF of Fractions 8320/526,7264/4190 is 32/1101970
Least Common Multiple of 526,4190 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 526,4190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(526,4190) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(526,4190) x common factors =2 x 1 = 2
LCM(526,4190) = ( 526 × 4190 ) / 2
LCM(526,4190) = 2203940 / 2
LCM(526,4190) = 1101970
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FAQs on GCF of Fractions of 8320/526, 7264/4190
1. What is the HCF of 8320,7264?
The HCF of 8320,7264 is 32
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 8320/526, 7264/4190?
Answer: GCF of Numerators as per given numbers 8320/526, 7264/4190 is
GCF of Numerators i.e. for 8320,7264 is 32
LCM of denominators i.e. for 526,4190 is 1101970.
Thus, GCF of Fractions is 32/1101970.Finally, GCF of Fractions for 8320/526, 7264/4190 is 32/1101970.