GCF of 6300/139, 6580/878
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6300/139, 6580/878 i.e 140/122042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6300/139, 6580/878.
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 6300/139,6580/878?
Given fractions are 6300/139,6580/878
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 6300/139,6580/878, numerators are 6300,6580
Denominators are 139,878
The GCF of 6300,6580 is 140 .
LCM of 139,878 is 122042.
The greatest common factor of 6300/139,6580/878 = [GCF of 6300,6580]/[LCM of 139,878]= 140/122042
Therefore, the GCF of 6300/139,6580/878 is 140/122042.
To find the highest common factor of 6300,6580, we have to find the factors of both numbers and list the highest common factor.
The factors of 6300 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 25, 28, 30, 35, 36, 42, 45, 50, 60, 63, 70, 75, 84, 90, 100, 105, 126, 140, 150, 175, 180, 210, 225, 252, 300, 315, 350, 420, 450, 525, 630, 700, 900, 1050, 1260, 1575, 2100, 3150, 6300
The factors of 6580 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 47, 70, 94, 140, 188, 235, 329, 470, 658, 940, 1316, 1645, 3290, 6580
The HCF of 6300,6580 is 140.
Lets's calculate GCF of 6300,6580
| 2 | 6300, 6580 |
| 2 | 3150, 3290 |
| 5 | 1575, 1645 |
| 7 | 315, 329 |
| 45, 47 |
∴ So the GCF of the given numbers is 2 x 2 x 5 x 7 = 140
Greatest Common Factor of 6300,6580 By Matching Biggest Common Factor Method
Now, list down the factors of 6300
:1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,25,28,30,35,36,42,45,50,60,63,70,75,84,90,100,105,126,140,150,175,180,210,225,252,300,315,350,420,450,525,630,700,900,1050,1260,1575,2100,3150,6300
Now, list down the factors of 6580
:1,2,4,5,7,10,14,20,28,35,47,70,94,140,188,235,329,470,658,940,1316,1645,3290,6580
Greatest Common Factor
We found the factors 6300,6580 . The biggest common factor number is the GCF number.
So the greatest common factor 6300,6580 is 140.
Lets's calculate LCM of 139,878
Given numbers has no common factors except 1. So, there LCM is their product i.e 122042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 140/122042
Therefore, the GCF of Fractions 6300/139,6580/878 is 140/122042
Least Common Multiple of 139,878 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 139,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,878) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(139,878) x common factors =1 x 1 = 1
LCM(139,878) = ( 139 × 878 ) / 1
LCM(139,878) = 122042 / 1
LCM(139,878) = 122042
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FAQs on GCF of Fractions of 6300/139, 6580/878
1. What is the HCF of 6300,6580?
The HCF of 6300,6580 is 140
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 6300/139, 6580/878?
Answer: GCF of Numerators as per given numbers 6300/139, 6580/878 is
GCF of Numerators i.e. for 6300,6580 is 140
LCM of denominators i.e. for 139,878 is 122042.
Thus, GCF of Fractions is 140/122042.Finally, GCF of Fractions for 6300/139, 6580/878 is 140/122042.