GCF of 876/67, 572/499
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 876/67, 572/499 i.e 4/33433 easily. The following is the detailed procedure to determine the greatest common factor of fractions 876/67, 572/499.
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 876/67,572/499?
Given fractions are 876/67,572/499
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 876/67,572/499, numerators are 876,572
Denominators are 67,499
The GCF of 876,572 is 4 .
LCM of 67,499 is 33433.
The greatest common factor of 876/67,572/499 = [GCF of 876,572]/[LCM of 67,499]= 4/33433
Therefore, the GCF of 876/67,572/499 is 4/33433.
To find the highest common factor of 876,572, we have to find the factors of both numbers and list the highest common factor.
The factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
The HCF of 876,572 is 4.
Lets's calculate GCF of 876,572
| 2 | 876, 572 |
| 2 | 438, 286 |
| 219, 143 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 876,572 By Matching Biggest Common Factor Method
Now, list down the factors of 876
:1,2,3,4,6,12,73,146,219,292,438,876
Now, list down the factors of 572
:1,2,4,11,13,22,26,44,52,143,286,572
Greatest Common Factor
We found the factors 876,572 . The biggest common factor number is the GCF number.
So the greatest common factor 876,572 is 4.
Lets's calculate LCM of 67,499
Given numbers has no common factors except 1. So, there LCM is their product i.e 33433
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/33433
Therefore, the GCF of Fractions 876/67,572/499 is 4/33433
Least Common Multiple of 67,499 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 67,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,499) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,499) x common factors =1 x 1 = 1
LCM(67,499) = ( 67 × 499 ) / 1
LCM(67,499) = 33433 / 1
LCM(67,499) = 33433
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FAQs on GCF of Fractions of 876/67, 572/499
1. What is the HCF of 876,572?
The HCF of 876,572 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 876/67, 572/499?
Answer: GCF of Numerators as per given numbers 876/67, 572/499 is
GCF of Numerators i.e. for 876,572 is 4
LCM of denominators i.e. for 67,499 is 33433.
Thus, GCF of Fractions is 4/33433.Finally, GCF of Fractions for 876/67, 572/499 is 4/33433.