GCF of 470/702, 1504/504
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 470/702, 1504/504 i.e 94/19656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 470/702, 1504/504.
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 470/702,1504/504?
Given fractions are 470/702,1504/504
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 470/702,1504/504, numerators are 470,1504
Denominators are 702,504
The GCF of 470,1504 is 94 .
LCM of 702,504 is 19656.
The greatest common factor of 470/702,1504/504 = [GCF of 470,1504]/[LCM of 702,504]= 94/19656
Therefore, the GCF of 470/702,1504/504 is 94/19656.
To find the highest common factor of 470,1504, we have to find the factors of both numbers and list the highest common factor.
The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470
The factors of 1504 are 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504
The HCF of 470,1504 is 94.
Lets's calculate GCF of 470,1504
| 2 | 470, 1504 |
| 47 | 235, 752 |
| 5, 16 |
∴ So the GCF of the given numbers is 2 x 47 = 94
Greatest Common Factor of 470,1504 By Matching Biggest Common Factor Method
Now, list down the factors of 470
:1,2,5,10,47,94,235,470
Now, list down the factors of 1504
:1,2,4,8,16,32,47,94,188,376,752,1504
Greatest Common Factor
We found the factors 470,1504 . The biggest common factor number is the GCF number.
So the greatest common factor 470,1504 is 94.
Lets's calculate LCM of 702,504
| 2 | 702, 504 |
| 3 | 351, 252 |
| 3 | 117, 84 |
| 39, 28 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 39 x 28 = 19656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 94/19656
Therefore, the GCF of Fractions 470/702,1504/504 is 94/19656
Least Common Multiple of 702,504 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 702,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,504) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(702,504) x common factors =18 x 1 = 18
LCM(702,504) = ( 702 × 504 ) / 18
LCM(702,504) = 353808 / 18
LCM(702,504) = 19656
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FAQs on GCF of Fractions of 470/702, 1504/504
1. What is the HCF of 470,1504?
The HCF of 470,1504 is 94
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 470/702, 1504/504?
Answer: GCF of Numerators as per given numbers 470/702, 1504/504 is
GCF of Numerators i.e. for 470,1504 is 94
LCM of denominators i.e. for 702,504 is 19656.
Thus, GCF of Fractions is 94/19656.Finally, GCF of Fractions for 470/702, 1504/504 is 94/19656.