GCF of 4672/710, 8964/5118
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4672/710, 8964/5118 i.e 4/1816890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4672/710, 8964/5118.
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 4672/710,8964/5118?
Given fractions are 4672/710,8964/5118
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 4672/710,8964/5118, numerators are 4672,8964
Denominators are 710,5118
The GCF of 4672,8964 is 4 .
LCM of 710,5118 is 1816890.
The greatest common factor of 4672/710,8964/5118 = [GCF of 4672,8964]/[LCM of 710,5118]= 4/1816890
Therefore, the GCF of 4672/710,8964/5118 is 4/1816890.
To find the highest common factor of 4672,8964, we have to find the factors of both numbers and list the highest common factor.
The factors of 4672 are 1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336, 4672
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 4672,8964 is 4.
Lets's calculate GCF of 4672,8964
| 2 | 4672, 8964 |
| 2 | 2336, 4482 |
| 1168, 2241 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4672,8964 By Matching Biggest Common Factor Method
Now, list down the factors of 4672
:1,2,4,8,16,32,64,73,146,292,584,1168,2336,4672
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 4672,8964 . The biggest common factor number is the GCF number.
So the greatest common factor 4672,8964 is 4.
Lets's calculate LCM of 710,5118
| 2 | 710, 5118 |
| 355, 2559 |
∴ So the LCM of the given numbers is 2 x 355 x 2559 = 1816890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1816890
Therefore, the GCF of Fractions 4672/710,8964/5118 is 4/1816890
Least Common Multiple of 710,5118 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 710,5118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(710,5118) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(710,5118) x common factors =2 x 1 = 2
LCM(710,5118) = ( 710 × 5118 ) / 2
LCM(710,5118) = 3633780 / 2
LCM(710,5118) = 1816890
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4672/710, 8964/5118
1. What is the HCF of 4672,8964?
The HCF of 4672,8964 is 4
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 4672/710, 8964/5118?
Answer: GCF of Numerators as per given numbers 4672/710, 8964/5118 is
GCF of Numerators i.e. for 4672,8964 is 4
LCM of denominators i.e. for 710,5118 is 1816890.
Thus, GCF of Fractions is 4/1816890.Finally, GCF of Fractions for 4672/710, 8964/5118 is 4/1816890.