GCF of 2177/836, 5072/5382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2177/836, 5072/5382 i.e 1/2249676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2177/836, 5072/5382.
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 2177/836,5072/5382?
Given fractions are 2177/836,5072/5382
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 2177/836,5072/5382, numerators are 2177,5072
Denominators are 836,5382
The GCF of 2177,5072 is 1 .
LCM of 836,5382 is 2249676.
The greatest common factor of 2177/836,5072/5382 = [GCF of 2177,5072]/[LCM of 836,5382]= 1/2249676
Therefore, the GCF of 2177/836,5072/5382 is 1/2249676.
To find the highest common factor of 2177,5072, we have to find the factors of both numbers and list the highest common factor.
The factors of 2177 are 1, 7, 311, 2177
The factors of 5072 are 1, 2, 4, 8, 16, 317, 634, 1268, 2536, 5072
The HCF of 2177,5072 is 1.
Lets's calculate GCF of 2177,5072
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2177,5072 By Matching Biggest Common Factor Method
Now, list down the factors of 2177
:1,7,311,2177
Now, list down the factors of 5072
:1,2,4,8,16,317,634,1268,2536,5072
Greatest Common Factor
We found the factors 2177,5072 . The biggest common factor number is the GCF number.
So the greatest common factor 2177,5072 is 1.
Lets's calculate LCM of 836,5382
| 2 | 836, 5382 |
| 418, 2691 |
∴ So the LCM of the given numbers is 2 x 418 x 2691 = 2249676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2249676
Therefore, the GCF of Fractions 2177/836,5072/5382 is 1/2249676
Least Common Multiple of 836,5382 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 836,5382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,5382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(836,5382) x common factors =2 x 1 = 2
LCM(836,5382) = ( 836 × 5382 ) / 2
LCM(836,5382) = 4499352 / 2
LCM(836,5382) = 2249676
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FAQs on GCF of Fractions of 2177/836, 5072/5382
1. What is the HCF of 2177,5072?
The HCF of 2177,5072 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 2177/836, 5072/5382?
Answer: GCF of Numerators as per given numbers 2177/836, 5072/5382 is
GCF of Numerators i.e. for 2177,5072 is 1
LCM of denominators i.e. for 836,5382 is 2249676.
Thus, GCF of Fractions is 1/2249676.Finally, GCF of Fractions for 2177/836, 5072/5382 is 1/2249676.