GCF of 504/878, 7117/654
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 504/878, 7117/654 i.e 1/287106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 504/878, 7117/654.
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 504/878,7117/654?
Given fractions are 504/878,7117/654
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 504/878,7117/654, numerators are 504,7117
Denominators are 878,654
The GCF of 504,7117 is 1 .
LCM of 878,654 is 287106.
The greatest common factor of 504/878,7117/654 = [GCF of 504,7117]/[LCM of 878,654]= 1/287106
Therefore, the GCF of 504/878,7117/654 is 1/287106.
To find the highest common factor of 504,7117, we have to find the factors of both numbers and list the highest common factor.
The factors of 504 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
The factors of 7117 are 1, 11, 647, 7117
The HCF of 504,7117 is 1.
Lets's calculate GCF of 504,7117
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 504,7117 By Matching Biggest Common Factor Method
Now, list down the factors of 504
:1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Now, list down the factors of 7117
:1,11,647,7117
Greatest Common Factor
We found the factors 504,7117 . The biggest common factor number is the GCF number.
So the greatest common factor 504,7117 is 1.
Lets's calculate LCM of 878,654
| 2 | 878, 654 |
| 439, 327 |
∴ So the LCM of the given numbers is 2 x 439 x 327 = 287106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/287106
Therefore, the GCF of Fractions 504/878,7117/654 is 1/287106
Least Common Multiple of 878,654 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 878,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,654) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(878,654) x common factors =2 x 1 = 2
LCM(878,654) = ( 878 × 654 ) / 2
LCM(878,654) = 574212 / 2
LCM(878,654) = 287106
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FAQs on GCF of Fractions of 504/878, 7117/654
1. What is the HCF of 504,7117?
The HCF of 504,7117 is 1
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 504/878, 7117/654?
Answer: GCF of Numerators as per given numbers 504/878, 7117/654 is
GCF of Numerators i.e. for 504,7117 is 1
LCM of denominators i.e. for 878,654 is 287106.
Thus, GCF of Fractions is 1/287106.Finally, GCF of Fractions for 504/878, 7117/654 is 1/287106.