GCF of 6474/430, 1560/1687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6474/430, 1560/1687 i.e 78/725410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6474/430, 1560/1687.
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 6474/430,1560/1687?
Given fractions are 6474/430,1560/1687
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 6474/430,1560/1687, numerators are 6474,1560
Denominators are 430,1687
The GCF of 6474,1560 is 78 .
LCM of 430,1687 is 725410.
The greatest common factor of 6474/430,1560/1687 = [GCF of 6474,1560]/[LCM of 430,1687]= 78/725410
Therefore, the GCF of 6474/430,1560/1687 is 78/725410.
To find the highest common factor of 6474,1560, we have to find the factors of both numbers and list the highest common factor.
The factors of 6474 are 1, 2, 3, 6, 13, 26, 39, 78, 83, 166, 249, 498, 1079, 2158, 3237, 6474
The factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560
The HCF of 6474,1560 is 78.
Lets's calculate GCF of 6474,1560
| 2 | 6474, 1560 |
| 3 | 3237, 780 |
| 13 | 1079, 260 |
| 83, 20 |
∴ So the GCF of the given numbers is 2 x 3 x 13 = 78
Greatest Common Factor of 6474,1560 By Matching Biggest Common Factor Method
Now, list down the factors of 6474
:1,2,3,6,13,26,39,78,83,166,249,498,1079,2158,3237,6474
Now, list down the factors of 1560
:1,2,3,4,5,6,8,10,12,13,15,20,24,26,30,39,40,52,60,65,78,104,120,130,156,195,260,312,390,520,780,1560
Greatest Common Factor
We found the factors 6474,1560 . The biggest common factor number is the GCF number.
So the greatest common factor 6474,1560 is 78.
Lets's calculate LCM of 430,1687
Given numbers has no common factors except 1. So, there LCM is their product i.e 725410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 78/725410
Therefore, the GCF of Fractions 6474/430,1560/1687 is 78/725410
Least Common Multiple of 430,1687 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 430,1687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,1687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(430,1687) x common factors =1 x 1 = 1
LCM(430,1687) = ( 430 × 1687 ) / 1
LCM(430,1687) = 725410 / 1
LCM(430,1687) = 725410
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FAQs on GCF of Fractions of 6474/430, 1560/1687
1. What is the HCF of 6474,1560?
The HCF of 6474,1560 is 78
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 6474/430, 1560/1687?
Answer: GCF of Numerators as per given numbers 6474/430, 1560/1687 is
GCF of Numerators i.e. for 6474,1560 is 78
LCM of denominators i.e. for 430,1687 is 725410.
Thus, GCF of Fractions is 78/725410.Finally, GCF of Fractions for 6474/430, 1560/1687 is 78/725410.