GCF of 705/685, 8237/260
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 705/685, 8237/260 i.e 1/35620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 705/685, 8237/260.
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 705/685,8237/260?
Given fractions are 705/685,8237/260
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 705/685,8237/260, numerators are 705,8237
Denominators are 685,260
The GCF of 705,8237 is 1 .
LCM of 685,260 is 35620.
The greatest common factor of 705/685,8237/260 = [GCF of 705,8237]/[LCM of 685,260]= 1/35620
Therefore, the GCF of 705/685,8237/260 is 1/35620.
To find the highest common factor of 705,8237, we have to find the factors of both numbers and list the highest common factor.
The factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705
The factors of 8237 are 1, 8237
The HCF of 705,8237 is 1.
Lets's calculate GCF of 705,8237
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 705,8237 By Matching Biggest Common Factor Method
Now, list down the factors of 705
:1,3,5,15,47,141,235,705
Now, list down the factors of 8237
:1,8237
Greatest Common Factor
We found the factors 705,8237 . The biggest common factor number is the GCF number.
So the greatest common factor 705,8237 is 1.
Lets's calculate LCM of 685,260
| 5 | 685, 260 |
| 137, 52 |
∴ So the LCM of the given numbers is 5 x 137 x 52 = 35620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35620
Therefore, the GCF of Fractions 705/685,8237/260 is 1/35620
Least Common Multiple of 685,260 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 685,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,260) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(685,260) x common factors =5 x 1 = 5
LCM(685,260) = ( 685 × 260 ) / 5
LCM(685,260) = 178100 / 5
LCM(685,260) = 35620
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FAQs on GCF of Fractions of 705/685, 8237/260
1. What is the HCF of 705,8237?
The HCF of 705,8237 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 705/685, 8237/260?
Answer: GCF of Numerators as per given numbers 705/685, 8237/260 is
GCF of Numerators i.e. for 705,8237 is 1
LCM of denominators i.e. for 685,260 is 35620.
Thus, GCF of Fractions is 1/35620.Finally, GCF of Fractions for 705/685, 8237/260 is 1/35620.