GCF of 9540/478, 6510/153
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9540/478, 6510/153 i.e 30/73134 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9540/478, 6510/153.
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 9540/478,6510/153?
Given fractions are 9540/478,6510/153
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 9540/478,6510/153, numerators are 9540,6510
Denominators are 478,153
The GCF of 9540,6510 is 30 .
LCM of 478,153 is 73134.
The greatest common factor of 9540/478,6510/153 = [GCF of 9540,6510]/[LCM of 478,153]= 30/73134
Therefore, the GCF of 9540/478,6510/153 is 30/73134.
To find the highest common factor of 9540,6510, we have to find the factors of both numbers and list the highest common factor.
The factors of 9540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 53, 60, 90, 106, 159, 180, 212, 265, 318, 477, 530, 636, 795, 954, 1060, 1590, 1908, 2385, 3180, 4770, 9540
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 9540,6510 is 30.
Lets's calculate GCF of 9540,6510
| 2 | 9540, 6510 |
| 3 | 4770, 3255 |
| 5 | 1590, 1085 |
| 318, 217 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 9540,6510 By Matching Biggest Common Factor Method
Now, list down the factors of 9540
:1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,53,60,90,106,159,180,212,265,318,477,530,636,795,954,1060,1590,1908,2385,3180,4770,9540
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 9540,6510 . The biggest common factor number is the GCF number.
So the greatest common factor 9540,6510 is 30.
Lets's calculate LCM of 478,153
Given numbers has no common factors except 1. So, there LCM is their product i.e 73134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/73134
Therefore, the GCF of Fractions 9540/478,6510/153 is 30/73134
Least Common Multiple of 478,153 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 478,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(478,153) x common factors =1 x 1 = 1
LCM(478,153) = ( 478 × 153 ) / 1
LCM(478,153) = 73134 / 1
LCM(478,153) = 73134
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FAQs on GCF of Fractions of 9540/478, 6510/153
1. What is the HCF of 9540,6510?
The HCF of 9540,6510 is 30
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 9540/478, 6510/153?
Answer: GCF of Numerators as per given numbers 9540/478, 6510/153 is
GCF of Numerators i.e. for 9540,6510 is 30
LCM of denominators i.e. for 478,153 is 73134.
Thus, GCF of Fractions is 30/73134.Finally, GCF of Fractions for 9540/478, 6510/153 is 30/73134.