GCF of 712/652, 920/609
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 712/652, 920/609 i.e 8/397068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 712/652, 920/609.
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 712/652,920/609?
Given fractions are 712/652,920/609
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 712/652,920/609, numerators are 712,920
Denominators are 652,609
The GCF of 712,920 is 8 .
LCM of 652,609 is 397068.
The greatest common factor of 712/652,920/609 = [GCF of 712,920]/[LCM of 652,609]= 8/397068
Therefore, the GCF of 712/652,920/609 is 8/397068.
To find the highest common factor of 712,920, we have to find the factors of both numbers and list the highest common factor.
The factors of 712 are 1, 2, 4, 8, 89, 178, 356, 712
The factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
The HCF of 712,920 is 8.
Lets's calculate GCF of 712,920
| 2 | 712, 920 |
| 2 | 356, 460 |
| 2 | 178, 230 |
| 89, 115 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 712,920 By Matching Biggest Common Factor Method
Now, list down the factors of 712
:1,2,4,8,89,178,356,712
Now, list down the factors of 920
:1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Greatest Common Factor
We found the factors 712,920 . The biggest common factor number is the GCF number.
So the greatest common factor 712,920 is 8.
Lets's calculate LCM of 652,609
Given numbers has no common factors except 1. So, there LCM is their product i.e 397068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/397068
Therefore, the GCF of Fractions 712/652,920/609 is 8/397068
Least Common Multiple of 652,609 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 652,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(652,609) x common factors =1 x 1 = 1
LCM(652,609) = ( 652 × 609 ) / 1
LCM(652,609) = 397068 / 1
LCM(652,609) = 397068
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FAQs on GCF of Fractions of 712/652, 920/609
1. What is the HCF of 712,920?
The HCF of 712,920 is 8
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 712/652, 920/609?
Answer: GCF of Numerators as per given numbers 712/652, 920/609 is
GCF of Numerators i.e. for 712,920 is 8
LCM of denominators i.e. for 652,609 is 397068.
Thus, GCF of Fractions is 8/397068.Finally, GCF of Fractions for 712/652, 920/609 is 8/397068.