GCF of 4174/840, 8964/507
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4174/840, 8964/507 i.e 2/141960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4174/840, 8964/507.
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 4174/840,8964/507?
Given fractions are 4174/840,8964/507
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 4174/840,8964/507, numerators are 4174,8964
Denominators are 840,507
The GCF of 4174,8964 is 2 .
LCM of 840,507 is 141960.
The greatest common factor of 4174/840,8964/507 = [GCF of 4174,8964]/[LCM of 840,507]= 2/141960
Therefore, the GCF of 4174/840,8964/507 is 2/141960.
To find the highest common factor of 4174,8964, we have to find the factors of both numbers and list the highest common factor.
The factors of 4174 are 1, 2, 2087, 4174
The factors of 8964 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 83, 108, 166, 249, 332, 498, 747, 996, 1494, 2241, 2988, 4482, 8964
The HCF of 4174,8964 is 2.
Lets's calculate GCF of 4174,8964
| 2 | 4174, 8964 |
| 2087, 4482 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4174,8964 By Matching Biggest Common Factor Method
Now, list down the factors of 4174
:1,2,2087,4174
Now, list down the factors of 8964
:1,2,3,4,6,9,12,18,27,36,54,83,108,166,249,332,498,747,996,1494,2241,2988,4482,8964
Greatest Common Factor
We found the factors 4174,8964 . The biggest common factor number is the GCF number.
So the greatest common factor 4174,8964 is 2.
Lets's calculate LCM of 840,507
| 3 | 840, 507 |
| 280, 169 |
∴ So the LCM of the given numbers is 3 x 280 x 169 = 141960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/141960
Therefore, the GCF of Fractions 4174/840,8964/507 is 2/141960
Least Common Multiple of 840,507 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 840,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,507) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(840,507) x common factors =3 x 1 = 3
LCM(840,507) = ( 840 × 507 ) / 3
LCM(840,507) = 425880 / 3
LCM(840,507) = 141960
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FAQs on GCF of Fractions of 4174/840, 8964/507
1. What is the HCF of 4174,8964?
The HCF of 4174,8964 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 4174/840, 8964/507?
Answer: GCF of Numerators as per given numbers 4174/840, 8964/507 is
GCF of Numerators i.e. for 4174,8964 is 2
LCM of denominators i.e. for 840,507 is 141960.
Thus, GCF of Fractions is 2/141960.Finally, GCF of Fractions for 4174/840, 8964/507 is 2/141960.