GCF of 4888/782, 8880/172
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4888/782, 8880/172 i.e 8/67252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4888/782, 8880/172.
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 4888/782,8880/172?
Given fractions are 4888/782,8880/172
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 4888/782,8880/172, numerators are 4888,8880
Denominators are 782,172
The GCF of 4888,8880 is 8 .
LCM of 782,172 is 67252.
The greatest common factor of 4888/782,8880/172 = [GCF of 4888,8880]/[LCM of 782,172]= 8/67252
Therefore, the GCF of 4888/782,8880/172 is 8/67252.
To find the highest common factor of 4888,8880, we have to find the factors of both numbers and list the highest common factor.
The factors of 4888 are 1, 2, 4, 8, 13, 26, 47, 52, 94, 104, 188, 376, 611, 1222, 2444, 4888
The factors of 8880 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 37, 40, 48, 60, 74, 80, 111, 120, 148, 185, 222, 240, 296, 370, 444, 555, 592, 740, 888, 1110, 1480, 1776, 2220, 2960, 4440, 8880
The HCF of 4888,8880 is 8.
Lets's calculate GCF of 4888,8880
| 2 | 4888, 8880 |
| 2 | 2444, 4440 |
| 2 | 1222, 2220 |
| 611, 1110 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 4888,8880 By Matching Biggest Common Factor Method
Now, list down the factors of 4888
:1,2,4,8,13,26,47,52,94,104,188,376,611,1222,2444,4888
Now, list down the factors of 8880
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,37,40,48,60,74,80,111,120,148,185,222,240,296,370,444,555,592,740,888,1110,1480,1776,2220,2960,4440,8880
Greatest Common Factor
We found the factors 4888,8880 . The biggest common factor number is the GCF number.
So the greatest common factor 4888,8880 is 8.
Lets's calculate LCM of 782,172
| 2 | 782, 172 |
| 391, 86 |
∴ So the LCM of the given numbers is 2 x 391 x 86 = 67252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/67252
Therefore, the GCF of Fractions 4888/782,8880/172 is 8/67252
Least Common Multiple of 782,172 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 782,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,172) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(782,172) x common factors =2 x 1 = 2
LCM(782,172) = ( 782 × 172 ) / 2
LCM(782,172) = 134504 / 2
LCM(782,172) = 67252
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FAQs on GCF of Fractions of 4888/782, 8880/172
1. What is the HCF of 4888,8880?
The HCF of 4888,8880 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 4888/782, 8880/172?
Answer: GCF of Numerators as per given numbers 4888/782, 8880/172 is
GCF of Numerators i.e. for 4888,8880 is 8
LCM of denominators i.e. for 782,172 is 67252.
Thus, GCF of Fractions is 8/67252.Finally, GCF of Fractions for 4888/782, 8880/172 is 8/67252.