GCF of 7496/788, 5174/931
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7496/788, 5174/931 i.e 2/733628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7496/788, 5174/931.
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 7496/788,5174/931?
Given fractions are 7496/788,5174/931
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 7496/788,5174/931, numerators are 7496,5174
Denominators are 788,931
The GCF of 7496,5174 is 2 .
LCM of 788,931 is 733628.
The greatest common factor of 7496/788,5174/931 = [GCF of 7496,5174]/[LCM of 788,931]= 2/733628
Therefore, the GCF of 7496/788,5174/931 is 2/733628.
To find the highest common factor of 7496,5174, we have to find the factors of both numbers and list the highest common factor.
The factors of 7496 are 1, 2, 4, 8, 937, 1874, 3748, 7496
The factors of 5174 are 1, 2, 13, 26, 199, 398, 2587, 5174
The HCF of 7496,5174 is 2.
Lets's calculate GCF of 7496,5174
| 2 | 7496, 5174 |
| 3748, 2587 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7496,5174 By Matching Biggest Common Factor Method
Now, list down the factors of 7496
:1,2,4,8,937,1874,3748,7496
Now, list down the factors of 5174
:1,2,13,26,199,398,2587,5174
Greatest Common Factor
We found the factors 7496,5174 . The biggest common factor number is the GCF number.
So the greatest common factor 7496,5174 is 2.
Lets's calculate LCM of 788,931
Given numbers has no common factors except 1. So, there LCM is their product i.e 733628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/733628
Therefore, the GCF of Fractions 7496/788,5174/931 is 2/733628
Least Common Multiple of 788,931 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 788,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(788,931) x common factors =1 x 1 = 1
LCM(788,931) = ( 788 × 931 ) / 1
LCM(788,931) = 733628 / 1
LCM(788,931) = 733628
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FAQs on GCF of Fractions of 7496/788, 5174/931
1. What is the HCF of 7496,5174?
The HCF of 7496,5174 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 7496/788, 5174/931?
Answer: GCF of Numerators as per given numbers 7496/788, 5174/931 is
GCF of Numerators i.e. for 7496,5174 is 2
LCM of denominators i.e. for 788,931 is 733628.
Thus, GCF of Fractions is 2/733628.Finally, GCF of Fractions for 7496/788, 5174/931 is 2/733628.