GCF of 5751/974, 4170/3202
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5751/974, 4170/3202 i.e 3/1559374 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5751/974, 4170/3202.
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 5751/974,4170/3202?
Given fractions are 5751/974,4170/3202
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 5751/974,4170/3202, numerators are 5751,4170
Denominators are 974,3202
The GCF of 5751,4170 is 3 .
LCM of 974,3202 is 1559374.
The greatest common factor of 5751/974,4170/3202 = [GCF of 5751,4170]/[LCM of 974,3202]= 3/1559374
Therefore, the GCF of 5751/974,4170/3202 is 3/1559374.
To find the highest common factor of 5751,4170, we have to find the factors of both numbers and list the highest common factor.
The factors of 5751 are 1, 3, 9, 27, 71, 81, 213, 639, 1917, 5751
The factors of 4170 are 1, 2, 3, 5, 6, 10, 15, 30, 139, 278, 417, 695, 834, 1390, 2085, 4170
The HCF of 5751,4170 is 3.
Lets's calculate GCF of 5751,4170
| 3 | 5751, 4170 |
| 1917, 1390 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5751,4170 By Matching Biggest Common Factor Method
Now, list down the factors of 5751
:1,3,9,27,71,81,213,639,1917,5751
Now, list down the factors of 4170
:1,2,3,5,6,10,15,30,139,278,417,695,834,1390,2085,4170
Greatest Common Factor
We found the factors 5751,4170 . The biggest common factor number is the GCF number.
So the greatest common factor 5751,4170 is 3.
Lets's calculate LCM of 974,3202
| 2 | 974, 3202 |
| 487, 1601 |
∴ So the LCM of the given numbers is 2 x 487 x 1601 = 1559374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1559374
Therefore, the GCF of Fractions 5751/974,4170/3202 is 3/1559374
Least Common Multiple of 974,3202 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 974,3202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(974,3202) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(974,3202) x common factors =2 x 1 = 2
LCM(974,3202) = ( 974 × 3202 ) / 2
LCM(974,3202) = 3118748 / 2
LCM(974,3202) = 1559374
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FAQs on GCF of Fractions of 5751/974, 4170/3202
1. What is the HCF of 5751,4170?
The HCF of 5751,4170 is 3
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 5751/974, 4170/3202?
Answer: GCF of Numerators as per given numbers 5751/974, 4170/3202 is
GCF of Numerators i.e. for 5751,4170 is 3
LCM of denominators i.e. for 974,3202 is 1559374.
Thus, GCF of Fractions is 3/1559374.Finally, GCF of Fractions for 5751/974, 4170/3202 is 3/1559374.