GCF of 4704/907, 9814/8552
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4704/907, 9814/8552 i.e 14/7756664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4704/907, 9814/8552.
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 4704/907,9814/8552?
Given fractions are 4704/907,9814/8552
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 4704/907,9814/8552, numerators are 4704,9814
Denominators are 907,8552
The GCF of 4704,9814 is 14 .
LCM of 907,8552 is 7756664.
The greatest common factor of 4704/907,9814/8552 = [GCF of 4704,9814]/[LCM of 907,8552]= 14/7756664
Therefore, the GCF of 4704/907,9814/8552 is 14/7756664.
To find the highest common factor of 4704,9814, we have to find the factors of both numbers and list the highest common factor.
The factors of 4704 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 84, 96, 98, 112, 147, 168, 196, 224, 294, 336, 392, 588, 672, 784, 1176, 1568, 2352, 4704
The factors of 9814 are 1, 2, 7, 14, 701, 1402, 4907, 9814
The HCF of 4704,9814 is 14.
Lets's calculate GCF of 4704,9814
| 2 | 4704, 9814 |
| 7 | 2352, 4907 |
| 336, 701 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 4704,9814 By Matching Biggest Common Factor Method
Now, list down the factors of 4704
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,49,56,84,96,98,112,147,168,196,224,294,336,392,588,672,784,1176,1568,2352,4704
Now, list down the factors of 9814
:1,2,7,14,701,1402,4907,9814
Greatest Common Factor
We found the factors 4704,9814 . The biggest common factor number is the GCF number.
So the greatest common factor 4704,9814 is 14.
Lets's calculate LCM of 907,8552
Given numbers has no common factors except 1. So, there LCM is their product i.e 7756664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/7756664
Therefore, the GCF of Fractions 4704/907,9814/8552 is 14/7756664
Least Common Multiple of 907,8552 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 907,8552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(907,8552) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(907,8552) x common factors =1 x 1 = 1
LCM(907,8552) = ( 907 × 8552 ) / 1
LCM(907,8552) = 7756664 / 1
LCM(907,8552) = 7756664
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FAQs on GCF of Fractions of 4704/907, 9814/8552
1. What is the HCF of 4704,9814?
The HCF of 4704,9814 is 14
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 4704/907, 9814/8552?
Answer: GCF of Numerators as per given numbers 4704/907, 9814/8552 is
GCF of Numerators i.e. for 4704,9814 is 14
LCM of denominators i.e. for 907,8552 is 7756664.
Thus, GCF of Fractions is 14/7756664.Finally, GCF of Fractions for 4704/907, 9814/8552 is 14/7756664.