GCF of 4904/783, 7800/379
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4904/783, 7800/379 i.e 8/296757 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4904/783, 7800/379.
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 4904/783,7800/379?
Given fractions are 4904/783,7800/379
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 4904/783,7800/379, numerators are 4904,7800
Denominators are 783,379
The GCF of 4904,7800 is 8 .
LCM of 783,379 is 296757.
The greatest common factor of 4904/783,7800/379 = [GCF of 4904,7800]/[LCM of 783,379]= 8/296757
Therefore, the GCF of 4904/783,7800/379 is 8/296757.
To find the highest common factor of 4904,7800, we have to find the factors of both numbers and list the highest common factor.
The factors of 4904 are 1, 2, 4, 8, 613, 1226, 2452, 4904
The factors of 7800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, 7800
The HCF of 4904,7800 is 8.
Lets's calculate GCF of 4904,7800
| 2 | 4904, 7800 |
| 2 | 2452, 3900 |
| 2 | 1226, 1950 |
| 613, 975 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 4904,7800 By Matching Biggest Common Factor Method
Now, list down the factors of 4904
:1,2,4,8,613,1226,2452,4904
Now, list down the factors of 7800
:1,2,3,4,5,6,8,10,12,13,15,20,24,25,26,30,39,40,50,52,60,65,75,78,100,104,120,130,150,156,195,200,260,300,312,325,390,520,600,650,780,975,1300,1560,1950,2600,3900,7800
Greatest Common Factor
We found the factors 4904,7800 . The biggest common factor number is the GCF number.
So the greatest common factor 4904,7800 is 8.
Lets's calculate LCM of 783,379
Given numbers has no common factors except 1. So, there LCM is their product i.e 296757
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/296757
Therefore, the GCF of Fractions 4904/783,7800/379 is 8/296757
Least Common Multiple of 783,379 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 783,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(783,379) x common factors =1 x 1 = 1
LCM(783,379) = ( 783 × 379 ) / 1
LCM(783,379) = 296757 / 1
LCM(783,379) = 296757
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FAQs on GCF of Fractions of 4904/783, 7800/379
1. What is the HCF of 4904,7800?
The HCF of 4904,7800 is 8
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 4904/783, 7800/379?
Answer: GCF of Numerators as per given numbers 4904/783, 7800/379 is
GCF of Numerators i.e. for 4904,7800 is 8
LCM of denominators i.e. for 783,379 is 296757.
Thus, GCF of Fractions is 8/296757.Finally, GCF of Fractions for 4904/783, 7800/379 is 8/296757.