GCF of 1025/529, 5290/7774
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1025/529, 5290/7774 i.e 5/178802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1025/529, 5290/7774.
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 1025/529,5290/7774?
Given fractions are 1025/529,5290/7774
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 1025/529,5290/7774, numerators are 1025,5290
Denominators are 529,7774
The GCF of 1025,5290 is 5 .
LCM of 529,7774 is 178802.
The greatest common factor of 1025/529,5290/7774 = [GCF of 1025,5290]/[LCM of 529,7774]= 5/178802
Therefore, the GCF of 1025/529,5290/7774 is 5/178802.
To find the highest common factor of 1025,5290, we have to find the factors of both numbers and list the highest common factor.
The factors of 1025 are 1, 5, 25, 41, 205, 1025
The factors of 5290 are 1, 2, 5, 10, 23, 46, 115, 230, 529, 1058, 2645, 5290
The HCF of 1025,5290 is 5.
Lets's calculate GCF of 1025,5290
| 5 | 1025, 5290 |
| 205, 1058 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1025,5290 By Matching Biggest Common Factor Method
Now, list down the factors of 1025
:1,5,25,41,205,1025
Now, list down the factors of 5290
:1,2,5,10,23,46,115,230,529,1058,2645,5290
Greatest Common Factor
We found the factors 1025,5290 . The biggest common factor number is the GCF number.
So the greatest common factor 1025,5290 is 5.
Lets's calculate LCM of 529,7774
| 23 | 529, 7774 |
| 23, 338 |
∴ So the LCM of the given numbers is 23 x 23 x 338 = 178802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/178802
Therefore, the GCF of Fractions 1025/529,5290/7774 is 5/178802
Least Common Multiple of 529,7774 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 529,7774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,7774) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(529,7774) x common factors =23 x 1 = 23
LCM(529,7774) = ( 529 × 7774 ) / 23
LCM(529,7774) = 4112446 / 23
LCM(529,7774) = 178802
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FAQs on GCF of Fractions of 1025/529, 5290/7774
1. What is the HCF of 1025,5290?
The HCF of 1025,5290 is 5
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 1025/529, 5290/7774?
Answer: GCF of Numerators as per given numbers 1025/529, 5290/7774 is
GCF of Numerators i.e. for 1025,5290 is 5
LCM of denominators i.e. for 529,7774 is 178802.
Thus, GCF of Fractions is 5/178802.Finally, GCF of Fractions for 1025/529, 5290/7774 is 5/178802.