GCF of 628/78, 598/703
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 628/78, 598/703 i.e 2/54834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 628/78, 598/703.
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 628/78,598/703?
Given fractions are 628/78,598/703
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 628/78,598/703, numerators are 628,598
Denominators are 78,703
The GCF of 628,598 is 2 .
LCM of 78,703 is 54834.
The greatest common factor of 628/78,598/703 = [GCF of 628,598]/[LCM of 78,703]= 2/54834
Therefore, the GCF of 628/78,598/703 is 2/54834.
To find the highest common factor of 628,598, we have to find the factors of both numbers and list the highest common factor.
The factors of 628 are 1, 2, 4, 157, 314, 628
The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598
The HCF of 628,598 is 2.
Lets's calculate GCF of 628,598
| 2 | 628, 598 |
| 314, 299 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 628,598 By Matching Biggest Common Factor Method
Now, list down the factors of 628
:1,2,4,157,314,628
Now, list down the factors of 598
:1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 628,598 . The biggest common factor number is the GCF number.
So the greatest common factor 628,598 is 2.
Lets's calculate LCM of 78,703
Given numbers has no common factors except 1. So, there LCM is their product i.e 54834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/54834
Therefore, the GCF of Fractions 628/78,598/703 is 2/54834
Least Common Multiple of 78,703 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 78,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(78,703) x common factors =1 x 1 = 1
LCM(78,703) = ( 78 × 703 ) / 1
LCM(78,703) = 54834 / 1
LCM(78,703) = 54834
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FAQs on GCF of Fractions of 628/78, 598/703
1. What is the HCF of 628,598?
The HCF of 628,598 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 628/78, 598/703?
Answer: GCF of Numerators as per given numbers 628/78, 598/703 is
GCF of Numerators i.e. for 628,598 is 2
LCM of denominators i.e. for 78,703 is 54834.
Thus, GCF of Fractions is 2/54834.Finally, GCF of Fractions for 628/78, 598/703 is 2/54834.