GCF of 5295/698, 5285/6382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5295/698, 5285/6382 i.e 5/2227318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5295/698, 5285/6382.
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 5295/698,5285/6382?
Given fractions are 5295/698,5285/6382
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 5295/698,5285/6382, numerators are 5295,5285
Denominators are 698,6382
The GCF of 5295,5285 is 5 .
LCM of 698,6382 is 2227318.
The greatest common factor of 5295/698,5285/6382 = [GCF of 5295,5285]/[LCM of 698,6382]= 5/2227318
Therefore, the GCF of 5295/698,5285/6382 is 5/2227318.
To find the highest common factor of 5295,5285, we have to find the factors of both numbers and list the highest common factor.
The factors of 5295 are 1, 3, 5, 15, 353, 1059, 1765, 5295
The factors of 5285 are 1, 5, 7, 35, 151, 755, 1057, 5285
The HCF of 5295,5285 is 5.
Lets's calculate GCF of 5295,5285
| 5 | 5295, 5285 |
| 1059, 1057 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5295,5285 By Matching Biggest Common Factor Method
Now, list down the factors of 5295
:1,3,5,15,353,1059,1765,5295
Now, list down the factors of 5285
:1,5,7,35,151,755,1057,5285
Greatest Common Factor
We found the factors 5295,5285 . The biggest common factor number is the GCF number.
So the greatest common factor 5295,5285 is 5.
Lets's calculate LCM of 698,6382
| 2 | 698, 6382 |
| 349, 3191 |
∴ So the LCM of the given numbers is 2 x 349 x 3191 = 2227318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2227318
Therefore, the GCF of Fractions 5295/698,5285/6382 is 5/2227318
Least Common Multiple of 698,6382 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 698,6382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,6382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(698,6382) x common factors =2 x 1 = 2
LCM(698,6382) = ( 698 × 6382 ) / 2
LCM(698,6382) = 4454636 / 2
LCM(698,6382) = 2227318
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FAQs on GCF of Fractions of 5295/698, 5285/6382
1. What is the HCF of 5295,5285?
The HCF of 5295,5285 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 5295/698, 5285/6382?
Answer: GCF of Numerators as per given numbers 5295/698, 5285/6382 is
GCF of Numerators i.e. for 5295,5285 is 5
LCM of denominators i.e. for 698,6382 is 2227318.
Thus, GCF of Fractions is 5/2227318.Finally, GCF of Fractions for 5295/698, 5285/6382 is 5/2227318.