GCF of 1128/609, 7176/6227
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1128/609, 7176/6227 i.e 24/3792243 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1128/609, 7176/6227.
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 1128/609,7176/6227?
Given fractions are 1128/609,7176/6227
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 1128/609,7176/6227, numerators are 1128,7176
Denominators are 609,6227
The GCF of 1128,7176 is 24 .
LCM of 609,6227 is 3792243.
The greatest common factor of 1128/609,7176/6227 = [GCF of 1128,7176]/[LCM of 609,6227]= 24/3792243
Therefore, the GCF of 1128/609,7176/6227 is 24/3792243.
To find the highest common factor of 1128,7176, we have to find the factors of both numbers and list the highest common factor.
The factors of 1128 are 1, 2, 3, 4, 6, 8, 12, 24, 47, 94, 141, 188, 282, 376, 564, 1128
The factors of 7176 are 1, 2, 3, 4, 6, 8, 12, 13, 23, 24, 26, 39, 46, 52, 69, 78, 92, 104, 138, 156, 184, 276, 299, 312, 552, 598, 897, 1196, 1794, 2392, 3588, 7176
The HCF of 1128,7176 is 24.
Lets's calculate GCF of 1128,7176
| 2 | 1128, 7176 |
| 2 | 564, 3588 |
| 2 | 282, 1794 |
| 3 | 141, 897 |
| 47, 299 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 1128,7176 By Matching Biggest Common Factor Method
Now, list down the factors of 1128
:1,2,3,4,6,8,12,24,47,94,141,188,282,376,564,1128
Now, list down the factors of 7176
:1,2,3,4,6,8,12,13,23,24,26,39,46,52,69,78,92,104,138,156,184,276,299,312,552,598,897,1196,1794,2392,3588,7176
Greatest Common Factor
We found the factors 1128,7176 . The biggest common factor number is the GCF number.
So the greatest common factor 1128,7176 is 24.
Lets's calculate LCM of 609,6227
Given numbers has no common factors except 1. So, there LCM is their product i.e 3792243
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/3792243
Therefore, the GCF of Fractions 1128/609,7176/6227 is 24/3792243
Least Common Multiple of 609,6227 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 609,6227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,6227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(609,6227) x common factors =1 x 1 = 1
LCM(609,6227) = ( 609 × 6227 ) / 1
LCM(609,6227) = 3792243 / 1
LCM(609,6227) = 3792243
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FAQs on GCF of Fractions of 1128/609, 7176/6227
1. What is the HCF of 1128,7176?
The HCF of 1128,7176 is 24
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 1128/609, 7176/6227?
Answer: GCF of Numerators as per given numbers 1128/609, 7176/6227 is
GCF of Numerators i.e. for 1128,7176 is 24
LCM of denominators i.e. for 609,6227 is 3792243.
Thus, GCF of Fractions is 24/3792243.Finally, GCF of Fractions for 1128/609, 7176/6227 is 24/3792243.