GCF of 7130/548, 5376/500
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7130/548, 5376/500 i.e 2/68500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7130/548, 5376/500.
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 7130/548,5376/500?
Given fractions are 7130/548,5376/500
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 7130/548,5376/500, numerators are 7130,5376
Denominators are 548,500
The GCF of 7130,5376 is 2 .
LCM of 548,500 is 68500.
The greatest common factor of 7130/548,5376/500 = [GCF of 7130,5376]/[LCM of 548,500]= 2/68500
Therefore, the GCF of 7130/548,5376/500 is 2/68500.
To find the highest common factor of 7130,5376, we have to find the factors of both numbers and list the highest common factor.
The factors of 7130 are 1, 2, 5, 10, 23, 31, 46, 62, 115, 155, 230, 310, 713, 1426, 3565, 7130
The factors of 5376 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 672, 768, 896, 1344, 1792, 2688, 5376
The HCF of 7130,5376 is 2.
Lets's calculate GCF of 7130,5376
| 2 | 7130, 5376 |
| 3565, 2688 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7130,5376 By Matching Biggest Common Factor Method
Now, list down the factors of 7130
:1,2,5,10,23,31,46,62,115,155,230,310,713,1426,3565,7130
Now, list down the factors of 5376
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,128,168,192,224,256,336,384,448,672,768,896,1344,1792,2688,5376
Greatest Common Factor
We found the factors 7130,5376 . The biggest common factor number is the GCF number.
So the greatest common factor 7130,5376 is 2.
Lets's calculate LCM of 548,500
| 2 | 548, 500 |
| 2 | 274, 250 |
| 137, 125 |
∴ So the LCM of the given numbers is 2 x 2 x 137 x 125 = 68500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/68500
Therefore, the GCF of Fractions 7130/548,5376/500 is 2/68500
Least Common Multiple of 548,500 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 548,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,500) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(548,500) x common factors =4 x 1 = 4
LCM(548,500) = ( 548 × 500 ) / 4
LCM(548,500) = 274000 / 4
LCM(548,500) = 68500
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FAQs on GCF of Fractions of 7130/548, 5376/500
1. What is the HCF of 7130,5376?
The HCF of 7130,5376 is 2
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 7130/548, 5376/500?
Answer: GCF of Numerators as per given numbers 7130/548, 5376/500 is
GCF of Numerators i.e. for 7130,5376 is 2
LCM of denominators i.e. for 548,500 is 68500.
Thus, GCF of Fractions is 2/68500.Finally, GCF of Fractions for 7130/548, 5376/500 is 2/68500.