GCF of 770/72, 360/598
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 770/72, 360/598 i.e 10/21528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 770/72, 360/598.
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 770/72,360/598?
Given fractions are 770/72,360/598
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 770/72,360/598, numerators are 770,360
Denominators are 72,598
The GCF of 770,360 is 10 .
LCM of 72,598 is 21528.
The greatest common factor of 770/72,360/598 = [GCF of 770,360]/[LCM of 72,598]= 10/21528
Therefore, the GCF of 770/72,360/598 is 10/21528.
To find the highest common factor of 770,360, we have to find the factors of both numbers and list the highest common factor.
The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
The HCF of 770,360 is 10.
Lets's calculate GCF of 770,360
| 2 | 770, 360 |
| 5 | 385, 180 |
| 77, 36 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 770,360 By Matching Biggest Common Factor Method
Now, list down the factors of 770
:1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Now, list down the factors of 360
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 770,360 . The biggest common factor number is the GCF number.
So the greatest common factor 770,360 is 10.
Lets's calculate LCM of 72,598
| 2 | 72, 598 |
| 36, 299 |
∴ So the LCM of the given numbers is 2 x 36 x 299 = 21528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/21528
Therefore, the GCF of Fractions 770/72,360/598 is 10/21528
Least Common Multiple of 72,598 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 72,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,598) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(72,598) x common factors =2 x 1 = 2
LCM(72,598) = ( 72 × 598 ) / 2
LCM(72,598) = 43056 / 2
LCM(72,598) = 21528
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FAQs on GCF of Fractions of 770/72, 360/598
1. What is the HCF of 770,360?
The HCF of 770,360 is 10
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 770/72, 360/598?
Answer: GCF of Numerators as per given numbers 770/72, 360/598 is
GCF of Numerators i.e. for 770,360 is 10
LCM of denominators i.e. for 72,598 is 21528.
Thus, GCF of Fractions is 10/21528.Finally, GCF of Fractions for 770/72, 360/598 is 10/21528.