GCF of 3748/898, 7174/984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3748/898, 7174/984 i.e 2/441816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3748/898, 7174/984.
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 3748/898,7174/984?
Given fractions are 3748/898,7174/984
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 3748/898,7174/984, numerators are 3748,7174
Denominators are 898,984
The GCF of 3748,7174 is 2 .
LCM of 898,984 is 441816.
The greatest common factor of 3748/898,7174/984 = [GCF of 3748,7174]/[LCM of 898,984]= 2/441816
Therefore, the GCF of 3748/898,7174/984 is 2/441816.
To find the highest common factor of 3748,7174, we have to find the factors of both numbers and list the highest common factor.
The factors of 3748 are 1, 2, 4, 937, 1874, 3748
The factors of 7174 are 1, 2, 17, 34, 211, 422, 3587, 7174
The HCF of 3748,7174 is 2.
Lets's calculate GCF of 3748,7174
| 2 | 3748, 7174 |
| 1874, 3587 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3748,7174 By Matching Biggest Common Factor Method
Now, list down the factors of 3748
:1,2,4,937,1874,3748
Now, list down the factors of 7174
:1,2,17,34,211,422,3587,7174
Greatest Common Factor
We found the factors 3748,7174 . The biggest common factor number is the GCF number.
So the greatest common factor 3748,7174 is 2.
Lets's calculate LCM of 898,984
| 2 | 898, 984 |
| 449, 492 |
∴ So the LCM of the given numbers is 2 x 449 x 492 = 441816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/441816
Therefore, the GCF of Fractions 3748/898,7174/984 is 2/441816
Least Common Multiple of 898,984 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 898,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(898,984) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(898,984) x common factors =2 x 1 = 2
LCM(898,984) = ( 898 × 984 ) / 2
LCM(898,984) = 883632 / 2
LCM(898,984) = 441816
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FAQs on GCF of Fractions of 3748/898, 7174/984
1. What is the HCF of 3748,7174?
The HCF of 3748,7174 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 3748/898, 7174/984?
Answer: GCF of Numerators as per given numbers 3748/898, 7174/984 is
GCF of Numerators i.e. for 3748,7174 is 2
LCM of denominators i.e. for 898,984 is 441816.
Thus, GCF of Fractions is 2/441816.Finally, GCF of Fractions for 3748/898, 7174/984 is 2/441816.