GCF of 710/275, 234/348
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 710/275, 234/348 i.e 2/95700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 710/275, 234/348.
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 710/275,234/348?
Given fractions are 710/275,234/348
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 710/275,234/348, numerators are 710,234
Denominators are 275,348
The GCF of 710,234 is 2 .
LCM of 275,348 is 95700.
The greatest common factor of 710/275,234/348 = [GCF of 710,234]/[LCM of 275,348]= 2/95700
Therefore, the GCF of 710/275,234/348 is 2/95700.
To find the highest common factor of 710,234, we have to find the factors of both numbers and list the highest common factor.
The factors of 710 are 1, 2, 5, 10, 71, 142, 355, 710
The factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
The HCF of 710,234 is 2.
Lets's calculate GCF of 710,234
| 2 | 710, 234 |
| 355, 117 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 710,234 By Matching Biggest Common Factor Method
Now, list down the factors of 710
:1,2,5,10,71,142,355,710
Now, list down the factors of 234
:1,2,3,6,9,13,18,26,39,78,117,234
Greatest Common Factor
We found the factors 710,234 . The biggest common factor number is the GCF number.
So the greatest common factor 710,234 is 2.
Lets's calculate LCM of 275,348
Given numbers has no common factors except 1. So, there LCM is their product i.e 95700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/95700
Therefore, the GCF of Fractions 710/275,234/348 is 2/95700
Least Common Multiple of 275,348 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 275,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(275,348) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(275,348) x common factors =1 x 1 = 1
LCM(275,348) = ( 275 × 348 ) / 1
LCM(275,348) = 95700 / 1
LCM(275,348) = 95700
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FAQs on GCF of Fractions of 710/275, 234/348
1. What is the HCF of 710,234?
The HCF of 710,234 is 2
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 710/275, 234/348?
Answer: GCF of Numerators as per given numbers 710/275, 234/348 is
GCF of Numerators i.e. for 710,234 is 2
LCM of denominators i.e. for 275,348 is 95700.
Thus, GCF of Fractions is 2/95700.Finally, GCF of Fractions for 710/275, 234/348 is 2/95700.