GCF of 5435/670, 8095/1385
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5435/670, 8095/1385 i.e 5/185590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5435/670, 8095/1385.
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 5435/670,8095/1385?
Given fractions are 5435/670,8095/1385
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 5435/670,8095/1385, numerators are 5435,8095
Denominators are 670,1385
The GCF of 5435,8095 is 5 .
LCM of 670,1385 is 185590.
The greatest common factor of 5435/670,8095/1385 = [GCF of 5435,8095]/[LCM of 670,1385]= 5/185590
Therefore, the GCF of 5435/670,8095/1385 is 5/185590.
To find the highest common factor of 5435,8095, we have to find the factors of both numbers and list the highest common factor.
The factors of 5435 are 1, 5, 1087, 5435
The factors of 8095 are 1, 5, 1619, 8095
The HCF of 5435,8095 is 5.
Lets's calculate GCF of 5435,8095
| 5 | 5435, 8095 |
| 1087, 1619 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5435,8095 By Matching Biggest Common Factor Method
Now, list down the factors of 5435
:1,5,1087,5435
Now, list down the factors of 8095
:1,5,1619,8095
Greatest Common Factor
We found the factors 5435,8095 . The biggest common factor number is the GCF number.
So the greatest common factor 5435,8095 is 5.
Lets's calculate LCM of 670,1385
| 5 | 670, 1385 |
| 134, 277 |
∴ So the LCM of the given numbers is 5 x 134 x 277 = 185590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/185590
Therefore, the GCF of Fractions 5435/670,8095/1385 is 5/185590
Least Common Multiple of 670,1385 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 670,1385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,1385) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(670,1385) x common factors =5 x 1 = 5
LCM(670,1385) = ( 670 × 1385 ) / 5
LCM(670,1385) = 927950 / 5
LCM(670,1385) = 185590
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FAQs on GCF of Fractions of 5435/670, 8095/1385
1. What is the HCF of 5435,8095?
The HCF of 5435,8095 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 5435/670, 8095/1385?
Answer: GCF of Numerators as per given numbers 5435/670, 8095/1385 is
GCF of Numerators i.e. for 5435,8095 is 5
LCM of denominators i.e. for 670,1385 is 185590.
Thus, GCF of Fractions is 5/185590.Finally, GCF of Fractions for 5435/670, 8095/1385 is 5/185590.