GCF of 7888/770, 7392/9405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7888/770, 7392/9405 i.e 16/131670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7888/770, 7392/9405.
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 7888/770,7392/9405?
Given fractions are 7888/770,7392/9405
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 7888/770,7392/9405, numerators are 7888,7392
Denominators are 770,9405
The GCF of 7888,7392 is 16 .
LCM of 770,9405 is 131670.
The greatest common factor of 7888/770,7392/9405 = [GCF of 7888,7392]/[LCM of 770,9405]= 16/131670
Therefore, the GCF of 7888/770,7392/9405 is 16/131670.
To find the highest common factor of 7888,7392, we have to find the factors of both numbers and list the highest common factor.
The factors of 7888 are 1, 2, 4, 8, 16, 17, 29, 34, 58, 68, 116, 136, 232, 272, 464, 493, 986, 1972, 3944, 7888
The factors of 7392 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 32, 33, 42, 44, 48, 56, 66, 77, 84, 88, 96, 112, 132, 154, 168, 176, 224, 231, 264, 308, 336, 352, 462, 528, 616, 672, 924, 1056, 1232, 1848, 2464, 3696, 7392
The HCF of 7888,7392 is 16.
Lets's calculate GCF of 7888,7392
| 2 | 7888, 7392 |
| 2 | 3944, 3696 |
| 2 | 1972, 1848 |
| 2 | 986, 924 |
| 493, 462 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 7888,7392 By Matching Biggest Common Factor Method
Now, list down the factors of 7888
:1,2,4,8,16,17,29,34,58,68,116,136,232,272,464,493,986,1972,3944,7888
Now, list down the factors of 7392
:1,2,3,4,6,7,8,11,12,14,16,21,22,24,28,32,33,42,44,48,56,66,77,84,88,96,112,132,154,168,176,224,231,264,308,336,352,462,528,616,672,924,1056,1232,1848,2464,3696,7392
Greatest Common Factor
We found the factors 7888,7392 . The biggest common factor number is the GCF number.
So the greatest common factor 7888,7392 is 16.
Lets's calculate LCM of 770,9405
| 5 | 770, 9405 |
| 11 | 154, 1881 |
| 14, 171 |
∴ So the LCM of the given numbers is 5 x 11 x 14 x 171 = 131670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/131670
Therefore, the GCF of Fractions 7888/770,7392/9405 is 16/131670
Least Common Multiple of 770,9405 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 770,9405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,9405) = 55
common factors(in case of two or more numbers have common factors) = 1
GCF(770,9405) x common factors =55 x 1 = 55
LCM(770,9405) = ( 770 × 9405 ) / 55
LCM(770,9405) = 7241850 / 55
LCM(770,9405) = 131670
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FAQs on GCF of Fractions of 7888/770, 7392/9405
1. What is the HCF of 7888,7392?
The HCF of 7888,7392 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 7888/770, 7392/9405?
Answer: GCF of Numerators as per given numbers 7888/770, 7392/9405 is
GCF of Numerators i.e. for 7888,7392 is 16
LCM of denominators i.e. for 770,9405 is 131670.
Thus, GCF of Fractions is 16/131670.Finally, GCF of Fractions for 7888/770, 7392/9405 is 16/131670.