GCF of 6924/560, 2688/916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6924/560, 2688/916 i.e 12/128240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6924/560, 2688/916.
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 6924/560,2688/916?
Given fractions are 6924/560,2688/916
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 6924/560,2688/916, numerators are 6924,2688
Denominators are 560,916
The GCF of 6924,2688 is 12 .
LCM of 560,916 is 128240.
The greatest common factor of 6924/560,2688/916 = [GCF of 6924,2688]/[LCM of 560,916]= 12/128240
Therefore, the GCF of 6924/560,2688/916 is 12/128240.
To find the highest common factor of 6924,2688, we have to find the factors of both numbers and list the highest common factor.
The factors of 6924 are 1, 2, 3, 4, 6, 12, 577, 1154, 1731, 2308, 3462, 6924
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 HCF of 6924,2688 is 12.
Lets's calculate GCF of 6924,2688
| 2 | 6924, 2688 |
| 2 | 3462, 1344 |
| 3 | 1731, 672 |
| 577, 224 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 6924,2688 By Matching Biggest Common Factor Method
Now, list down the factors of 6924
:1,2,3,4,6,12,577,1154,1731,2308,3462,6924
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
Greatest Common Factor
We found the factors 6924,2688 . The biggest common factor number is the GCF number.
So the greatest common factor 6924,2688 is 12.
Lets's calculate LCM of 560,916
| 2 | 560, 916 |
| 2 | 280, 458 |
| 140, 229 |
∴ So the LCM of the given numbers is 2 x 2 x 140 x 229 = 128240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/128240
Therefore, the GCF of Fractions 6924/560,2688/916 is 12/128240
Least Common Multiple of 560,916 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 560,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,916) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(560,916) x common factors =4 x 1 = 4
LCM(560,916) = ( 560 × 916 ) / 4
LCM(560,916) = 512960 / 4
LCM(560,916) = 128240
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FAQs on GCF of Fractions of 6924/560, 2688/916
1. What is the HCF of 6924,2688?
The HCF of 6924,2688 is 12
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 6924/560, 2688/916?
Answer: GCF of Numerators as per given numbers 6924/560, 2688/916 is
GCF of Numerators i.e. for 6924,2688 is 12
LCM of denominators i.e. for 560,916 is 128240.
Thus, GCF of Fractions is 12/128240.Finally, GCF of Fractions for 6924/560, 2688/916 is 12/128240.