GCF of 3480/762, 6467/1356
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3480/762, 6467/1356 i.e 29/172212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3480/762, 6467/1356.
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 3480/762,6467/1356?
Given fractions are 3480/762,6467/1356
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 3480/762,6467/1356, numerators are 3480,6467
Denominators are 762,1356
The GCF of 3480,6467 is 29 .
LCM of 762,1356 is 172212.
The greatest common factor of 3480/762,6467/1356 = [GCF of 3480,6467]/[LCM of 762,1356]= 29/172212
Therefore, the GCF of 3480/762,6467/1356 is 29/172212.
To find the highest common factor of 3480,6467, we have to find the factors of both numbers and list the highest common factor.
The factors of 3480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58, 60, 87, 116, 120, 145, 174, 232, 290, 348, 435, 580, 696, 870, 1160, 1740, 3480
The factors of 6467 are 1, 29, 223, 6467
The HCF of 3480,6467 is 29.
Lets's calculate GCF of 3480,6467
| 29 | 3480, 6467 |
| 120, 223 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 3480,6467 By Matching Biggest Common Factor Method
Now, list down the factors of 3480
:1,2,3,4,5,6,8,10,12,15,20,24,29,30,40,58,60,87,116,120,145,174,232,290,348,435,580,696,870,1160,1740,3480
Now, list down the factors of 6467
:1,29,223,6467
Greatest Common Factor
We found the factors 3480,6467 . The biggest common factor number is the GCF number.
So the greatest common factor 3480,6467 is 29.
Lets's calculate LCM of 762,1356
| 2 | 762, 1356 |
| 3 | 381, 678 |
| 127, 226 |
∴ So the LCM of the given numbers is 2 x 3 x 127 x 226 = 172212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/172212
Therefore, the GCF of Fractions 3480/762,6467/1356 is 29/172212
Least Common Multiple of 762,1356 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 762,1356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,1356) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(762,1356) x common factors =6 x 1 = 6
LCM(762,1356) = ( 762 × 1356 ) / 6
LCM(762,1356) = 1033272 / 6
LCM(762,1356) = 172212
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FAQs on GCF of Fractions of 3480/762, 6467/1356
1. What is the HCF of 3480,6467?
The HCF of 3480,6467 is 29
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 3480/762, 6467/1356?
Answer: GCF of Numerators as per given numbers 3480/762, 6467/1356 is
GCF of Numerators i.e. for 3480,6467 is 29
LCM of denominators i.e. for 762,1356 is 172212.
Thus, GCF of Fractions is 29/172212.Finally, GCF of Fractions for 3480/762, 6467/1356 is 29/172212.