GCF of 3474/148, 3478/502
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3474/148, 3478/502 i.e 2/37148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3474/148, 3478/502.
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 3474/148,3478/502?
Given fractions are 3474/148,3478/502
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 3474/148,3478/502, numerators are 3474,3478
Denominators are 148,502
The GCF of 3474,3478 is 2 .
LCM of 148,502 is 37148.
The greatest common factor of 3474/148,3478/502 = [GCF of 3474,3478]/[LCM of 148,502]= 2/37148
Therefore, the GCF of 3474/148,3478/502 is 2/37148.
To find the highest common factor of 3474,3478, we have to find the factors of both numbers and list the highest common factor.
The factors of 3474 are 1, 2, 3, 6, 9, 18, 193, 386, 579, 1158, 1737, 3474
The factors of 3478 are 1, 2, 37, 47, 74, 94, 1739, 3478
The HCF of 3474,3478 is 2.
Lets's calculate GCF of 3474,3478
| 2 | 3474, 3478 |
| 1737, 1739 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3474,3478 By Matching Biggest Common Factor Method
Now, list down the factors of 3474
:1,2,3,6,9,18,193,386,579,1158,1737,3474
Now, list down the factors of 3478
:1,2,37,47,74,94,1739,3478
Greatest Common Factor
We found the factors 3474,3478 . The biggest common factor number is the GCF number.
So the greatest common factor 3474,3478 is 2.
Lets's calculate LCM of 148,502
| 2 | 148, 502 |
| 74, 251 |
∴ So the LCM of the given numbers is 2 x 74 x 251 = 37148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37148
Therefore, the GCF of Fractions 3474/148,3478/502 is 2/37148
Least Common Multiple of 148,502 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 148,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(148,502) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(148,502) x common factors =2 x 1 = 2
LCM(148,502) = ( 148 × 502 ) / 2
LCM(148,502) = 74296 / 2
LCM(148,502) = 37148
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FAQs on GCF of Fractions of 3474/148, 3478/502
1. What is the HCF of 3474,3478?
The HCF of 3474,3478 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 3474/148, 3478/502?
Answer: GCF of Numerators as per given numbers 3474/148, 3478/502 is
GCF of Numerators i.e. for 3474,3478 is 2
LCM of denominators i.e. for 148,502 is 37148.
Thus, GCF of Fractions is 2/37148.Finally, GCF of Fractions for 3474/148, 3478/502 is 2/37148.