GCF of 6510/443, 3507/3490
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6510/443, 3507/3490 i.e 21/1546070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6510/443, 3507/3490.
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 6510/443,3507/3490?
Given fractions are 6510/443,3507/3490
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 6510/443,3507/3490, numerators are 6510,3507
Denominators are 443,3490
The GCF of 6510,3507 is 21 .
LCM of 443,3490 is 1546070.
The greatest common factor of 6510/443,3507/3490 = [GCF of 6510,3507]/[LCM of 443,3490]= 21/1546070
Therefore, the GCF of 6510/443,3507/3490 is 21/1546070.
To find the highest common factor of 6510,3507, we have to find the factors of both numbers and list the highest common factor.
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 factors of 3507 are 1, 3, 7, 21, 167, 501, 1169, 3507
The HCF of 6510,3507 is 21.
Lets's calculate GCF of 6510,3507
| 3 | 6510, 3507 |
| 7 | 2170, 1169 |
| 310, 167 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 6510,3507 By Matching Biggest Common Factor Method
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
Now, list down the factors of 3507
:1,3,7,21,167,501,1169,3507
Greatest Common Factor
We found the factors 6510,3507 . The biggest common factor number is the GCF number.
So the greatest common factor 6510,3507 is 21.
Lets's calculate LCM of 443,3490
Given numbers has no common factors except 1. So, there LCM is their product i.e 1546070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/1546070
Therefore, the GCF of Fractions 6510/443,3507/3490 is 21/1546070
Least Common Multiple of 443,3490 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 443,3490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,3490) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,3490) x common factors =1 x 1 = 1
LCM(443,3490) = ( 443 × 3490 ) / 1
LCM(443,3490) = 1546070 / 1
LCM(443,3490) = 1546070
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FAQs on GCF of Fractions of 6510/443, 3507/3490
1. What is the HCF of 6510,3507?
The HCF of 6510,3507 is 21
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 6510/443, 3507/3490?
Answer: GCF of Numerators as per given numbers 6510/443, 3507/3490 is
GCF of Numerators i.e. for 6510,3507 is 21
LCM of denominators i.e. for 443,3490 is 1546070.
Thus, GCF of Fractions is 21/1546070.Finally, GCF of Fractions for 6510/443, 3507/3490 is 21/1546070.