GCF of 1880/509, 6560/6357
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1880/509, 6560/6357 i.e 40/3235713 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1880/509, 6560/6357.
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 1880/509,6560/6357?
Given fractions are 1880/509,6560/6357
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 1880/509,6560/6357, numerators are 1880,6560
Denominators are 509,6357
The GCF of 1880,6560 is 40 .
LCM of 509,6357 is 3235713.
The greatest common factor of 1880/509,6560/6357 = [GCF of 1880,6560]/[LCM of 509,6357]= 40/3235713
Therefore, the GCF of 1880/509,6560/6357 is 40/3235713.
To find the highest common factor of 1880,6560, we have to find the factors of both numbers and list the highest common factor.
The factors of 1880 are 1, 2, 4, 5, 8, 10, 20, 40, 47, 94, 188, 235, 376, 470, 940, 1880
The factors of 6560 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 41, 80, 82, 160, 164, 205, 328, 410, 656, 820, 1312, 1640, 3280, 6560
The HCF of 1880,6560 is 40.
Lets's calculate GCF of 1880,6560
| 2 | 1880, 6560 |
| 2 | 940, 3280 |
| 2 | 470, 1640 |
| 5 | 235, 820 |
| 47, 164 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Greatest Common Factor of 1880,6560 By Matching Biggest Common Factor Method
Now, list down the factors of 1880
:1,2,4,5,8,10,20,40,47,94,188,235,376,470,940,1880
Now, list down the factors of 6560
:1,2,4,5,8,10,16,20,32,40,41,80,82,160,164,205,328,410,656,820,1312,1640,3280,6560
Greatest Common Factor
We found the factors 1880,6560 . The biggest common factor number is the GCF number.
So the greatest common factor 1880,6560 is 40.
Lets's calculate LCM of 509,6357
Given numbers has no common factors except 1. So, there LCM is their product i.e 3235713
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/3235713
Therefore, the GCF of Fractions 1880/509,6560/6357 is 40/3235713
Least Common Multiple of 509,6357 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 509,6357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,6357) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,6357) x common factors =1 x 1 = 1
LCM(509,6357) = ( 509 × 6357 ) / 1
LCM(509,6357) = 3235713 / 1
LCM(509,6357) = 3235713
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FAQs on GCF of Fractions of 1880/509, 6560/6357
1. What is the HCF of 1880,6560?
The HCF of 1880,6560 is 40
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 1880/509, 6560/6357?
Answer: GCF of Numerators as per given numbers 1880/509, 6560/6357 is
GCF of Numerators i.e. for 1880,6560 is 40
LCM of denominators i.e. for 509,6357 is 3235713.
Thus, GCF of Fractions is 40/3235713.Finally, GCF of Fractions for 1880/509, 6560/6357 is 40/3235713.