GCF of 705/60, 625/4278
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 705/60, 625/4278 i.e 5/42780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 705/60, 625/4278.
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 705/60,625/4278?
Given fractions are 705/60,625/4278
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 705/60,625/4278, numerators are 705,625
Denominators are 60,4278
The GCF of 705,625 is 5 .
LCM of 60,4278 is 42780.
The greatest common factor of 705/60,625/4278 = [GCF of 705,625]/[LCM of 60,4278]= 5/42780
Therefore, the GCF of 705/60,625/4278 is 5/42780.
To find the highest common factor of 705,625, 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 625 are 1, 5, 25, 125, 625
The HCF of 705,625 is 5.
Lets's calculate GCF of 705,625
| 5 | 705, 625 |
| 141, 125 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 705,625 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 625
:1,5,25,125,625
Greatest Common Factor
We found the factors 705,625 . The biggest common factor number is the GCF number.
So the greatest common factor 705,625 is 5.
Lets's calculate LCM of 60,4278
| 2 | 60, 4278 |
| 3 | 30, 2139 |
| 10, 713 |
∴ So the LCM of the given numbers is 2 x 3 x 10 x 713 = 42780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/42780
Therefore, the GCF of Fractions 705/60,625/4278 is 5/42780
Least Common Multiple of 60,4278 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 60,4278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,4278) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(60,4278) x common factors =6 x 1 = 6
LCM(60,4278) = ( 60 × 4278 ) / 6
LCM(60,4278) = 256680 / 6
LCM(60,4278) = 42780
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FAQs on GCF of Fractions of 705/60, 625/4278
1. What is the HCF of 705,625?
The HCF of 705,625 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 705/60, 625/4278?
Answer: GCF of Numerators as per given numbers 705/60, 625/4278 is
GCF of Numerators i.e. for 705,625 is 5
LCM of denominators i.e. for 60,4278 is 42780.
Thus, GCF of Fractions is 5/42780.Finally, GCF of Fractions for 705/60, 625/4278 is 5/42780.