GCF of 6275/720, 6510/2812
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6275/720, 6510/2812 i.e 5/506160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6275/720, 6510/2812.
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 6275/720,6510/2812?
Given fractions are 6275/720,6510/2812
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 6275/720,6510/2812, numerators are 6275,6510
Denominators are 720,2812
The GCF of 6275,6510 is 5 .
LCM of 720,2812 is 506160.
The greatest common factor of 6275/720,6510/2812 = [GCF of 6275,6510]/[LCM of 720,2812]= 5/506160
Therefore, the GCF of 6275/720,6510/2812 is 5/506160.
To find the highest common factor of 6275,6510, we have to find the factors of both numbers and list the highest common factor.
The factors of 6275 are 1, 5, 25, 251, 1255, 6275
The factors of 6510 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 31, 35, 42, 62, 70, 93, 105, 155, 186, 210, 217, 310, 434, 465, 651, 930, 1085, 1302, 2170, 3255, 6510
The HCF of 6275,6510 is 5.
Lets's calculate GCF of 6275,6510
| 5 | 6275, 6510 |
| 1255, 1302 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6275,6510 By Matching Biggest Common Factor Method
Now, list down the factors of 6275
:1,5,25,251,1255,6275
Now, list down the factors of 6510
:1,2,3,5,6,7,10,14,15,21,30,31,35,42,62,70,93,105,155,186,210,217,310,434,465,651,930,1085,1302,2170,3255,6510
Greatest Common Factor
We found the factors 6275,6510 . The biggest common factor number is the GCF number.
So the greatest common factor 6275,6510 is 5.
Lets's calculate LCM of 720,2812
| 2 | 720, 2812 |
| 2 | 360, 1406 |
| 180, 703 |
∴ So the LCM of the given numbers is 2 x 2 x 180 x 703 = 506160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/506160
Therefore, the GCF of Fractions 6275/720,6510/2812 is 5/506160
Least Common Multiple of 720,2812 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 720,2812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,2812) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(720,2812) x common factors =4 x 1 = 4
LCM(720,2812) = ( 720 × 2812 ) / 4
LCM(720,2812) = 2024640 / 4
LCM(720,2812) = 506160
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FAQs on GCF of Fractions of 6275/720, 6510/2812
1. What is the HCF of 6275,6510?
The HCF of 6275,6510 is 5
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 6275/720, 6510/2812?
Answer: GCF of Numerators as per given numbers 6275/720, 6510/2812 is
GCF of Numerators i.e. for 6275,6510 is 5
LCM of denominators i.e. for 720,2812 is 506160.
Thus, GCF of Fractions is 5/506160.Finally, GCF of Fractions for 6275/720, 6510/2812 is 5/506160.