GCF of 4776/669, 5970/674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4776/669, 5970/674 i.e 1194/450906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4776/669, 5970/674.
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 4776/669,5970/674?
Given fractions are 4776/669,5970/674
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 4776/669,5970/674, numerators are 4776,5970
Denominators are 669,674
The GCF of 4776,5970 is 1194 .
LCM of 669,674 is 450906.
The greatest common factor of 4776/669,5970/674 = [GCF of 4776,5970]/[LCM of 669,674]= 1194/450906
Therefore, the GCF of 4776/669,5970/674 is 1194/450906.
To find the highest common factor of 4776,5970, we have to find the factors of both numbers and list the highest common factor.
The factors of 4776 are 1, 2, 3, 4, 6, 8, 12, 24, 199, 398, 597, 796, 1194, 1592, 2388, 4776
The factors of 5970 are 1, 2, 3, 5, 6, 10, 15, 30, 199, 398, 597, 995, 1194, 1990, 2985, 5970
The HCF of 4776,5970 is 1194.
Lets's calculate GCF of 4776,5970
| 2 | 4776, 5970 |
| 3 | 2388, 2985 |
| 199 | 796, 995 |
| 4, 5 |
∴ So the GCF of the given numbers is 2 x 3 x 199 = 1194
Greatest Common Factor of 4776,5970 By Matching Biggest Common Factor Method
Now, list down the factors of 4776
:1,2,3,4,6,8,12,24,199,398,597,796,1194,1592,2388,4776
Now, list down the factors of 5970
:1,2,3,5,6,10,15,30,199,398,597,995,1194,1990,2985,5970
Greatest Common Factor
We found the factors 4776,5970 . The biggest common factor number is the GCF number.
So the greatest common factor 4776,5970 is 1194.
Lets's calculate LCM of 669,674
Given numbers has no common factors except 1. So, there LCM is their product i.e 450906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1194/450906
Therefore, the GCF of Fractions 4776/669,5970/674 is 1194/450906
Least Common Multiple of 669,674 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 669,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,674) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(669,674) x common factors =1 x 1 = 1
LCM(669,674) = ( 669 × 674 ) / 1
LCM(669,674) = 450906 / 1
LCM(669,674) = 450906
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FAQs on GCF of Fractions of 4776/669, 5970/674
1. What is the HCF of 4776,5970?
The HCF of 4776,5970 is 1194
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 4776/669, 5970/674?
Answer: GCF of Numerators as per given numbers 4776/669, 5970/674 is
GCF of Numerators i.e. for 4776,5970 is 1194
LCM of denominators i.e. for 669,674 is 450906.
Thus, GCF of Fractions is 1194/450906.Finally, GCF of Fractions for 4776/669, 5970/674 is 1194/450906.