GCF of 4752/63, 8184/770
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4752/63, 8184/770 i.e 264/6930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4752/63, 8184/770.
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 4752/63,8184/770?
Given fractions are 4752/63,8184/770
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 4752/63,8184/770, numerators are 4752,8184
Denominators are 63,770
The GCF of 4752,8184 is 264 .
LCM of 63,770 is 6930.
The greatest common factor of 4752/63,8184/770 = [GCF of 4752,8184]/[LCM of 63,770]= 264/6930
Therefore, the GCF of 4752/63,8184/770 is 264/6930.
To find the highest common factor of 4752,8184, we have to find the factors of both numbers and list the highest common factor.
The factors of 4752 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 72, 88, 99, 108, 132, 144, 176, 198, 216, 264, 297, 396, 432, 528, 594, 792, 1188, 1584, 2376, 4752
The factors of 8184 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 31, 33, 44, 62, 66, 88, 93, 124, 132, 186, 248, 264, 341, 372, 682, 744, 1023, 1364, 2046, 2728, 4092, 8184
The HCF of 4752,8184 is 264.
Lets's calculate GCF of 4752,8184
| 2 | 4752, 8184 |
| 2 | 2376, 4092 |
| 2 | 1188, 2046 |
| 3 | 594, 1023 |
| 11 | 198, 341 |
| 18, 31 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 11 = 264
Greatest Common Factor of 4752,8184 By Matching Biggest Common Factor Method
Now, list down the factors of 4752
:1,2,3,4,6,8,9,11,12,16,18,22,24,27,33,36,44,48,54,66,72,88,99,108,132,144,176,198,216,264,297,396,432,528,594,792,1188,1584,2376,4752
Now, list down the factors of 8184
:1,2,3,4,6,8,11,12,22,24,31,33,44,62,66,88,93,124,132,186,248,264,341,372,682,744,1023,1364,2046,2728,4092,8184
Greatest Common Factor
We found the factors 4752,8184 . The biggest common factor number is the GCF number.
So the greatest common factor 4752,8184 is 264.
Lets's calculate LCM of 63,770
| 7 | 63, 770 |
| 9, 110 |
∴ So the LCM of the given numbers is 7 x 9 x 110 = 6930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 264/6930
Therefore, the GCF of Fractions 4752/63,8184/770 is 264/6930
Least Common Multiple of 63,770 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 63,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,770) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(63,770) x common factors =7 x 1 = 7
LCM(63,770) = ( 63 × 770 ) / 7
LCM(63,770) = 48510 / 7
LCM(63,770) = 6930
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FAQs on GCF of Fractions of 4752/63, 8184/770
1. What is the HCF of 4752,8184?
The HCF of 4752,8184 is 264
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 4752/63, 8184/770?
Answer: GCF of Numerators as per given numbers 4752/63, 8184/770 is
GCF of Numerators i.e. for 4752,8184 is 264
LCM of denominators i.e. for 63,770 is 6930.
Thus, GCF of Fractions is 264/6930.Finally, GCF of Fractions for 4752/63, 8184/770 is 264/6930.