GCF of 6979/185, 2632/2549
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6979/185, 2632/2549 i.e 7/471565 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6979/185, 2632/2549.
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 6979/185,2632/2549?
Given fractions are 6979/185,2632/2549
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 6979/185,2632/2549, numerators are 6979,2632
Denominators are 185,2549
The GCF of 6979,2632 is 7 .
LCM of 185,2549 is 471565.
The greatest common factor of 6979/185,2632/2549 = [GCF of 6979,2632]/[LCM of 185,2549]= 7/471565
Therefore, the GCF of 6979/185,2632/2549 is 7/471565.
To find the highest common factor of 6979,2632, we have to find the factors of both numbers and list the highest common factor.
The factors of 6979 are 1, 7, 997, 6979
The factors of 2632 are 1, 2, 4, 7, 8, 14, 28, 47, 56, 94, 188, 329, 376, 658, 1316, 2632
The HCF of 6979,2632 is 7.
Lets's calculate GCF of 6979,2632
| 7 | 6979, 2632 |
| 997, 376 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6979,2632 By Matching Biggest Common Factor Method
Now, list down the factors of 6979
:1,7,997,6979
Now, list down the factors of 2632
:1,2,4,7,8,14,28,47,56,94,188,329,376,658,1316,2632
Greatest Common Factor
We found the factors 6979,2632 . The biggest common factor number is the GCF number.
So the greatest common factor 6979,2632 is 7.
Lets's calculate LCM of 185,2549
Given numbers has no common factors except 1. So, there LCM is their product i.e 471565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/471565
Therefore, the GCF of Fractions 6979/185,2632/2549 is 7/471565
Least Common Multiple of 185,2549 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 185,2549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(185,2549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(185,2549) x common factors =1 x 1 = 1
LCM(185,2549) = ( 185 × 2549 ) / 1
LCM(185,2549) = 471565 / 1
LCM(185,2549) = 471565
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FAQs on GCF of Fractions of 6979/185, 2632/2549
1. What is the HCF of 6979,2632?
The HCF of 6979,2632 is 7
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 6979/185, 2632/2549?
Answer: GCF of Numerators as per given numbers 6979/185, 2632/2549 is
GCF of Numerators i.e. for 6979,2632 is 7
LCM of denominators i.e. for 185,2549 is 471565.
Thus, GCF of Fractions is 7/471565.Finally, GCF of Fractions for 6979/185, 2632/2549 is 7/471565.