GCF of 1536/358, 7676/2654
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1536/358, 7676/2654 i.e 4/475066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1536/358, 7676/2654.
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 1536/358,7676/2654?
Given fractions are 1536/358,7676/2654
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 1536/358,7676/2654, numerators are 1536,7676
Denominators are 358,2654
The GCF of 1536,7676 is 4 .
LCM of 358,2654 is 475066.
The greatest common factor of 1536/358,7676/2654 = [GCF of 1536,7676]/[LCM of 358,2654]= 4/475066
Therefore, the GCF of 1536/358,7676/2654 is 4/475066.
To find the highest common factor of 1536,7676, we have to find the factors of both numbers and list the highest common factor.
The factors of 1536 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1536
The factors of 7676 are 1, 2, 4, 19, 38, 76, 101, 202, 404, 1919, 3838, 7676
The HCF of 1536,7676 is 4.
Lets's calculate GCF of 1536,7676
| 2 | 1536, 7676 |
| 2 | 768, 3838 |
| 384, 1919 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1536,7676 By Matching Biggest Common Factor Method
Now, list down the factors of 1536
:1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1536
Now, list down the factors of 7676
:1,2,4,19,38,76,101,202,404,1919,3838,7676
Greatest Common Factor
We found the factors 1536,7676 . The biggest common factor number is the GCF number.
So the greatest common factor 1536,7676 is 4.
Lets's calculate LCM of 358,2654
| 2 | 358, 2654 |
| 179, 1327 |
∴ So the LCM of the given numbers is 2 x 179 x 1327 = 475066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/475066
Therefore, the GCF of Fractions 1536/358,7676/2654 is 4/475066
Least Common Multiple of 358,2654 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 358,2654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,2654) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(358,2654) x common factors =2 x 1 = 2
LCM(358,2654) = ( 358 × 2654 ) / 2
LCM(358,2654) = 950132 / 2
LCM(358,2654) = 475066
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FAQs on GCF of Fractions of 1536/358, 7676/2654
1. What is the HCF of 1536,7676?
The HCF of 1536,7676 is 4
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 1536/358, 7676/2654?
Answer: GCF of Numerators as per given numbers 1536/358, 7676/2654 is
GCF of Numerators i.e. for 1536,7676 is 4
LCM of denominators i.e. for 358,2654 is 475066.
Thus, GCF of Fractions is 4/475066.Finally, GCF of Fractions for 1536/358, 7676/2654 is 4/475066.