GCF of 2117/971, 6132/5285
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2117/971, 6132/5285 i.e 73/5131735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2117/971, 6132/5285.
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 2117/971,6132/5285?
Given fractions are 2117/971,6132/5285
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 2117/971,6132/5285, numerators are 2117,6132
Denominators are 971,5285
The GCF of 2117,6132 is 73 .
LCM of 971,5285 is 5131735.
The greatest common factor of 2117/971,6132/5285 = [GCF of 2117,6132]/[LCM of 971,5285]= 73/5131735
Therefore, the GCF of 2117/971,6132/5285 is 73/5131735.
To find the highest common factor of 2117,6132, we have to find the factors of both numbers and list the highest common factor.
The factors of 2117 are 1, 29, 73, 2117
The factors of 6132 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 73, 84, 146, 219, 292, 438, 511, 876, 1022, 1533, 2044, 3066, 6132
The HCF of 2117,6132 is 73.
Lets's calculate GCF of 2117,6132
| 73 | 2117, 6132 |
| 29, 84 |
∴ So the GCF of the given numbers is 73 = 73
Greatest Common Factor of 2117,6132 By Matching Biggest Common Factor Method
Now, list down the factors of 2117
:1,29,73,2117
Now, list down the factors of 6132
:1,2,3,4,6,7,12,14,21,28,42,73,84,146,219,292,438,511,876,1022,1533,2044,3066,6132
Greatest Common Factor
We found the factors 2117,6132 . The biggest common factor number is the GCF number.
So the greatest common factor 2117,6132 is 73.
Lets's calculate LCM of 971,5285
Given numbers has no common factors except 1. So, there LCM is their product i.e 5131735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 73/5131735
Therefore, the GCF of Fractions 2117/971,6132/5285 is 73/5131735
Least Common Multiple of 971,5285 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 971,5285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,5285) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,5285) x common factors =1 x 1 = 1
LCM(971,5285) = ( 971 × 5285 ) / 1
LCM(971,5285) = 5131735 / 1
LCM(971,5285) = 5131735
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FAQs on GCF of Fractions of 2117/971, 6132/5285
1. What is the HCF of 2117,6132?
The HCF of 2117,6132 is 73
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 2117/971, 6132/5285?
Answer: GCF of Numerators as per given numbers 2117/971, 6132/5285 is
GCF of Numerators i.e. for 2117,6132 is 73
LCM of denominators i.e. for 971,5285 is 5131735.
Thus, GCF of Fractions is 73/5131735.Finally, GCF of Fractions for 2117/971, 6132/5285 is 73/5131735.