GCF of 4496/770, 7360/895
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4496/770, 7360/895 i.e 16/137830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4496/770, 7360/895.
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 4496/770,7360/895?
Given fractions are 4496/770,7360/895
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 4496/770,7360/895, numerators are 4496,7360
Denominators are 770,895
The GCF of 4496,7360 is 16 .
LCM of 770,895 is 137830.
The greatest common factor of 4496/770,7360/895 = [GCF of 4496,7360]/[LCM of 770,895]= 16/137830
Therefore, the GCF of 4496/770,7360/895 is 16/137830.
To find the highest common factor of 4496,7360, we have to find the factors of both numbers and list the highest common factor.
The factors of 4496 are 1, 2, 4, 8, 16, 281, 562, 1124, 2248, 4496
The factors of 7360 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 160, 184, 230, 320, 368, 460, 736, 920, 1472, 1840, 3680, 7360
The HCF of 4496,7360 is 16.
Lets's calculate GCF of 4496,7360
| 2 | 4496, 7360 |
| 2 | 2248, 3680 |
| 2 | 1124, 1840 |
| 2 | 562, 920 |
| 281, 460 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 4496,7360 By Matching Biggest Common Factor Method
Now, list down the factors of 4496
:1,2,4,8,16,281,562,1124,2248,4496
Now, list down the factors of 7360
:1,2,4,5,8,10,16,20,23,32,40,46,64,80,92,115,160,184,230,320,368,460,736,920,1472,1840,3680,7360
Greatest Common Factor
We found the factors 4496,7360 . The biggest common factor number is the GCF number.
So the greatest common factor 4496,7360 is 16.
Lets's calculate LCM of 770,895
| 5 | 770, 895 |
| 154, 179 |
∴ So the LCM of the given numbers is 5 x 154 x 179 = 137830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/137830
Therefore, the GCF of Fractions 4496/770,7360/895 is 16/137830
Least Common Multiple of 770,895 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 770,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,895) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(770,895) x common factors =5 x 1 = 5
LCM(770,895) = ( 770 × 895 ) / 5
LCM(770,895) = 689150 / 5
LCM(770,895) = 137830
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FAQs on GCF of Fractions of 4496/770, 7360/895
1. What is the HCF of 4496,7360?
The HCF of 4496,7360 is 16
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 4496/770, 7360/895?
Answer: GCF of Numerators as per given numbers 4496/770, 7360/895 is
GCF of Numerators i.e. for 4496,7360 is 16
LCM of denominators i.e. for 770,895 is 137830.
Thus, GCF of Fractions is 16/137830.Finally, GCF of Fractions for 4496/770, 7360/895 is 16/137830.