GCF of 7360/851, 8992/126
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7360/851, 8992/126 i.e 32/107226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7360/851, 8992/126.
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 7360/851,8992/126?
Given fractions are 7360/851,8992/126
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 7360/851,8992/126, numerators are 7360,8992
Denominators are 851,126
The GCF of 7360,8992 is 32 .
LCM of 851,126 is 107226.
The greatest common factor of 7360/851,8992/126 = [GCF of 7360,8992]/[LCM of 851,126]= 32/107226
Therefore, the GCF of 7360/851,8992/126 is 32/107226.
To find the highest common factor of 7360,8992, we have to find the factors of both numbers and list the highest common factor.
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 factors of 8992 are 1, 2, 4, 8, 16, 32, 281, 562, 1124, 2248, 4496, 8992
The HCF of 7360,8992 is 32.
Lets's calculate GCF of 7360,8992
| 2 | 7360, 8992 |
| 2 | 3680, 4496 |
| 2 | 1840, 2248 |
| 2 | 920, 1124 |
| 2 | 460, 562 |
| 230, 281 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 7360,8992 By Matching Biggest Common Factor Method
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
Now, list down the factors of 8992
:1,2,4,8,16,32,281,562,1124,2248,4496,8992
Greatest Common Factor
We found the factors 7360,8992 . The biggest common factor number is the GCF number.
So the greatest common factor 7360,8992 is 32.
Lets's calculate LCM of 851,126
Given numbers has no common factors except 1. So, there LCM is their product i.e 107226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/107226
Therefore, the GCF of Fractions 7360/851,8992/126 is 32/107226
Least Common Multiple of 851,126 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 851,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,126) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(851,126) x common factors =1 x 1 = 1
LCM(851,126) = ( 851 × 126 ) / 1
LCM(851,126) = 107226 / 1
LCM(851,126) = 107226
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FAQs on GCF of Fractions of 7360/851, 8992/126
1. What is the HCF of 7360,8992?
The HCF of 7360,8992 is 32
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 7360/851, 8992/126?
Answer: GCF of Numerators as per given numbers 7360/851, 8992/126 is
GCF of Numerators i.e. for 7360,8992 is 32
LCM of denominators i.e. for 851,126 is 107226.
Thus, GCF of Fractions is 32/107226.Finally, GCF of Fractions for 7360/851, 8992/126 is 32/107226.