GCF of 4785/828, 7000/178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4785/828, 7000/178 i.e 5/73692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4785/828, 7000/178.
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 4785/828,7000/178?
Given fractions are 4785/828,7000/178
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 4785/828,7000/178, numerators are 4785,7000
Denominators are 828,178
The GCF of 4785,7000 is 5 .
LCM of 828,178 is 73692.
The greatest common factor of 4785/828,7000/178 = [GCF of 4785,7000]/[LCM of 828,178]= 5/73692
Therefore, the GCF of 4785/828,7000/178 is 5/73692.
To find the highest common factor of 4785,7000, we have to find the factors of both numbers and list the highest common factor.
The factors of 4785 are 1, 3, 5, 11, 15, 29, 33, 55, 87, 145, 165, 319, 435, 957, 1595, 4785
The factors of 7000 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 125, 140, 175, 200, 250, 280, 350, 500, 700, 875, 1000, 1400, 1750, 3500, 7000
The HCF of 4785,7000 is 5.
Lets's calculate GCF of 4785,7000
| 5 | 4785, 7000 |
| 957, 1400 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4785,7000 By Matching Biggest Common Factor Method
Now, list down the factors of 4785
:1,3,5,11,15,29,33,55,87,145,165,319,435,957,1595,4785
Now, list down the factors of 7000
:1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,125,140,175,200,250,280,350,500,700,875,1000,1400,1750,3500,7000
Greatest Common Factor
We found the factors 4785,7000 . The biggest common factor number is the GCF number.
So the greatest common factor 4785,7000 is 5.
Lets's calculate LCM of 828,178
| 2 | 828, 178 |
| 414, 89 |
∴ So the LCM of the given numbers is 2 x 414 x 89 = 73692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/73692
Therefore, the GCF of Fractions 4785/828,7000/178 is 5/73692
Least Common Multiple of 828,178 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 828,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,178) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(828,178) x common factors =2 x 1 = 2
LCM(828,178) = ( 828 × 178 ) / 2
LCM(828,178) = 147384 / 2
LCM(828,178) = 73692
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FAQs on GCF of Fractions of 4785/828, 7000/178
1. What is the HCF of 4785,7000?
The HCF of 4785,7000 is 5
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 4785/828, 7000/178?
Answer: GCF of Numerators as per given numbers 4785/828, 7000/178 is
GCF of Numerators i.e. for 4785,7000 is 5
LCM of denominators i.e. for 828,178 is 73692.
Thus, GCF of Fractions is 5/73692.Finally, GCF of Fractions for 4785/828, 7000/178 is 5/73692.