GCF of 3268/750, 1824/5078
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3268/750, 1824/5078 i.e 76/1904250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3268/750, 1824/5078.
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 3268/750,1824/5078?
Given fractions are 3268/750,1824/5078
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 3268/750,1824/5078, numerators are 3268,1824
Denominators are 750,5078
The GCF of 3268,1824 is 76 .
LCM of 750,5078 is 1904250.
The greatest common factor of 3268/750,1824/5078 = [GCF of 3268,1824]/[LCM of 750,5078]= 76/1904250
Therefore, the GCF of 3268/750,1824/5078 is 76/1904250.
To find the highest common factor of 3268,1824, we have to find the factors of both numbers and list the highest common factor.
The factors of 3268 are 1, 2, 4, 19, 38, 43, 76, 86, 172, 817, 1634, 3268
The factors of 1824 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 76, 96, 114, 152, 228, 304, 456, 608, 912, 1824
The HCF of 3268,1824 is 76.
Lets's calculate GCF of 3268,1824
| 2 | 3268, 1824 |
| 2 | 1634, 912 |
| 19 | 817, 456 |
| 43, 24 |
∴ So the GCF of the given numbers is 2 x 2 x 19 = 76
Greatest Common Factor of 3268,1824 By Matching Biggest Common Factor Method
Now, list down the factors of 3268
:1,2,4,19,38,43,76,86,172,817,1634,3268
Now, list down the factors of 1824
:1,2,3,4,6,8,12,16,19,24,32,38,48,57,76,96,114,152,228,304,456,608,912,1824
Greatest Common Factor
We found the factors 3268,1824 . The biggest common factor number is the GCF number.
So the greatest common factor 3268,1824 is 76.
Lets's calculate LCM of 750,5078
| 2 | 750, 5078 |
| 375, 2539 |
∴ So the LCM of the given numbers is 2 x 375 x 2539 = 1904250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 76/1904250
Therefore, the GCF of Fractions 3268/750,1824/5078 is 76/1904250
Least Common Multiple of 750,5078 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 750,5078 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,5078) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(750,5078) x common factors =2 x 1 = 2
LCM(750,5078) = ( 750 × 5078 ) / 2
LCM(750,5078) = 3808500 / 2
LCM(750,5078) = 1904250
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FAQs on GCF of Fractions of 3268/750, 1824/5078
1. What is the HCF of 3268,1824?
The HCF of 3268,1824 is 76
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 3268/750, 1824/5078?
Answer: GCF of Numerators as per given numbers 3268/750, 1824/5078 is
GCF of Numerators i.e. for 3268,1824 is 76
LCM of denominators i.e. for 750,5078 is 1904250.
Thus, GCF of Fractions is 76/1904250.Finally, GCF of Fractions for 3268/750, 1824/5078 is 76/1904250.