GCF of 5006/907, 7698/343
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5006/907, 7698/343 i.e 2/311101 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5006/907, 7698/343.
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 5006/907,7698/343?
Given fractions are 5006/907,7698/343
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 5006/907,7698/343, numerators are 5006,7698
Denominators are 907,343
The GCF of 5006,7698 is 2 .
LCM of 907,343 is 311101.
The greatest common factor of 5006/907,7698/343 = [GCF of 5006,7698]/[LCM of 907,343]= 2/311101
Therefore, the GCF of 5006/907,7698/343 is 2/311101.
To find the highest common factor of 5006,7698, we have to find the factors of both numbers and list the highest common factor.
The factors of 5006 are 1, 2, 2503, 5006
The factors of 7698 are 1, 2, 3, 6, 1283, 2566, 3849, 7698
The HCF of 5006,7698 is 2.
Lets's calculate GCF of 5006,7698
| 2 | 5006, 7698 |
| 2503, 3849 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5006,7698 By Matching Biggest Common Factor Method
Now, list down the factors of 5006
:1,2,2503,5006
Now, list down the factors of 7698
:1,2,3,6,1283,2566,3849,7698
Greatest Common Factor
We found the factors 5006,7698 . The biggest common factor number is the GCF number.
So the greatest common factor 5006,7698 is 2.
Lets's calculate LCM of 907,343
Given numbers has no common factors except 1. So, there LCM is their product i.e 311101
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/311101
Therefore, the GCF of Fractions 5006/907,7698/343 is 2/311101
Least Common Multiple of 907,343 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 907,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(907,343) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(907,343) x common factors =1 x 1 = 1
LCM(907,343) = ( 907 × 343 ) / 1
LCM(907,343) = 311101 / 1
LCM(907,343) = 311101
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FAQs on GCF of Fractions of 5006/907, 7698/343
1. What is the HCF of 5006,7698?
The HCF of 5006,7698 is 2
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 5006/907, 7698/343?
Answer: GCF of Numerators as per given numbers 5006/907, 7698/343 is
GCF of Numerators i.e. for 5006,7698 is 2
LCM of denominators i.e. for 907,343 is 311101.
Thus, GCF of Fractions is 2/311101.Finally, GCF of Fractions for 5006/907, 7698/343 is 2/311101.