GCF of 2688/934, 4869/8456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2688/934, 4869/8456 i.e 3/3948952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2688/934, 4869/8456.
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 2688/934,4869/8456?
Given fractions are 2688/934,4869/8456
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 2688/934,4869/8456, numerators are 2688,4869
Denominators are 934,8456
The GCF of 2688,4869 is 3 .
LCM of 934,8456 is 3948952.
The greatest common factor of 2688/934,4869/8456 = [GCF of 2688,4869]/[LCM of 934,8456]= 3/3948952
Therefore, the GCF of 2688/934,4869/8456 is 3/3948952.
To find the highest common factor of 2688,4869, we have to find the factors of both numbers and list the highest common factor.
The factors of 2688 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 336, 384, 448, 672, 896, 1344, 2688
The factors of 4869 are 1, 3, 9, 541, 1623, 4869
The HCF of 2688,4869 is 3.
Lets's calculate GCF of 2688,4869
| 3 | 2688, 4869 |
| 896, 1623 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2688,4869 By Matching Biggest Common Factor Method
Now, list down the factors of 2688
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,128,168,192,224,336,384,448,672,896,1344,2688
Now, list down the factors of 4869
:1,3,9,541,1623,4869
Greatest Common Factor
We found the factors 2688,4869 . The biggest common factor number is the GCF number.
So the greatest common factor 2688,4869 is 3.
Lets's calculate LCM of 934,8456
| 2 | 934, 8456 |
| 467, 4228 |
∴ So the LCM of the given numbers is 2 x 467 x 4228 = 3948952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3948952
Therefore, the GCF of Fractions 2688/934,4869/8456 is 3/3948952
Least Common Multiple of 934,8456 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 934,8456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,8456) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(934,8456) x common factors =2 x 1 = 2
LCM(934,8456) = ( 934 × 8456 ) / 2
LCM(934,8456) = 7897904 / 2
LCM(934,8456) = 3948952
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FAQs on GCF of Fractions of 2688/934, 4869/8456
1. What is the HCF of 2688,4869?
The HCF of 2688,4869 is 3
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 2688/934, 4869/8456?
Answer: GCF of Numerators as per given numbers 2688/934, 4869/8456 is
GCF of Numerators i.e. for 2688,4869 is 3
LCM of denominators i.e. for 934,8456 is 3948952.
Thus, GCF of Fractions is 3/3948952.Finally, GCF of Fractions for 2688/934, 4869/8456 is 3/3948952.