GCF of 2729/278, 8676/509
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2729/278, 8676/509 i.e 1/141502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2729/278, 8676/509.
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 2729/278,8676/509?
Given fractions are 2729/278,8676/509
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 2729/278,8676/509, numerators are 2729,8676
Denominators are 278,509
The GCF of 2729,8676 is 1 .
LCM of 278,509 is 141502.
The greatest common factor of 2729/278,8676/509 = [GCF of 2729,8676]/[LCM of 278,509]= 1/141502
Therefore, the GCF of 2729/278,8676/509 is 1/141502.
To find the highest common factor of 2729,8676, we have to find the factors of both numbers and list the highest common factor.
The factors of 2729 are 1, 2729
The factors of 8676 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 241, 482, 723, 964, 1446, 2169, 2892, 4338, 8676
The HCF of 2729,8676 is 1.
Lets's calculate GCF of 2729,8676
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2729,8676 By Matching Biggest Common Factor Method
Now, list down the factors of 2729
:1,2729
Now, list down the factors of 8676
:1,2,3,4,6,9,12,18,36,241,482,723,964,1446,2169,2892,4338,8676
Greatest Common Factor
We found the factors 2729,8676 . The biggest common factor number is the GCF number.
So the greatest common factor 2729,8676 is 1.
Lets's calculate LCM of 278,509
Given numbers has no common factors except 1. So, there LCM is their product i.e 141502
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141502
Therefore, the GCF of Fractions 2729/278,8676/509 is 1/141502
Least Common Multiple of 278,509 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 278,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(278,509) x common factors =1 x 1 = 1
LCM(278,509) = ( 278 × 509 ) / 1
LCM(278,509) = 141502 / 1
LCM(278,509) = 141502
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FAQs on GCF of Fractions of 2729/278, 8676/509
1. What is the HCF of 2729,8676?
The HCF of 2729,8676 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 2729/278, 8676/509?
Answer: GCF of Numerators as per given numbers 2729/278, 8676/509 is
GCF of Numerators i.e. for 2729,8676 is 1
LCM of denominators i.e. for 278,509 is 141502.
Thus, GCF of Fractions is 1/141502.Finally, GCF of Fractions for 2729/278, 8676/509 is 1/141502.