GCF of 7330/755, 2520/6488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7330/755, 2520/6488 i.e 10/4898440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7330/755, 2520/6488.
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 7330/755,2520/6488?
Given fractions are 7330/755,2520/6488
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 7330/755,2520/6488, numerators are 7330,2520
Denominators are 755,6488
The GCF of 7330,2520 is 10 .
LCM of 755,6488 is 4898440.
The greatest common factor of 7330/755,2520/6488 = [GCF of 7330,2520]/[LCM of 755,6488]= 10/4898440
Therefore, the GCF of 7330/755,2520/6488 is 10/4898440.
To find the highest common factor of 7330,2520, we have to find the factors of both numbers and list the highest common factor.
The factors of 7330 are 1, 2, 5, 10, 733, 1466, 3665, 7330
The factors of 2520 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 56, 60, 63, 70, 72, 84, 90, 105, 120, 126, 140, 168, 180, 210, 252, 280, 315, 360, 420, 504, 630, 840, 1260, 2520
The HCF of 7330,2520 is 10.
Lets's calculate GCF of 7330,2520
| 2 | 7330, 2520 |
| 5 | 3665, 1260 |
| 733, 252 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7330,2520 By Matching Biggest Common Factor Method
Now, list down the factors of 7330
:1,2,5,10,733,1466,3665,7330
Now, list down the factors of 2520
:1,2,3,4,5,6,7,8,9,10,12,14,15,18,20,21,24,28,30,35,36,40,42,45,56,60,63,70,72,84,90,105,120,126,140,168,180,210,252,280,315,360,420,504,630,840,1260,2520
Greatest Common Factor
We found the factors 7330,2520 . The biggest common factor number is the GCF number.
So the greatest common factor 7330,2520 is 10.
Lets's calculate LCM of 755,6488
Given numbers has no common factors except 1. So, there LCM is their product i.e 4898440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/4898440
Therefore, the GCF of Fractions 7330/755,2520/6488 is 10/4898440
Least Common Multiple of 755,6488 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 755,6488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(755,6488) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(755,6488) x common factors =1 x 1 = 1
LCM(755,6488) = ( 755 × 6488 ) / 1
LCM(755,6488) = 4898440 / 1
LCM(755,6488) = 4898440
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FAQs on GCF of Fractions of 7330/755, 2520/6488
1. What is the HCF of 7330,2520?
The HCF of 7330,2520 is 10
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 7330/755, 2520/6488?
Answer: GCF of Numerators as per given numbers 7330/755, 2520/6488 is
GCF of Numerators i.e. for 7330,2520 is 10
LCM of denominators i.e. for 755,6488 is 4898440.
Thus, GCF of Fractions is 10/4898440.Finally, GCF of Fractions for 7330/755, 2520/6488 is 10/4898440.