GCF of 4952/970, 2046/6308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4952/970, 2046/6308 i.e 2/3059380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4952/970, 2046/6308.
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 4952/970,2046/6308?
Given fractions are 4952/970,2046/6308
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 4952/970,2046/6308, numerators are 4952,2046
Denominators are 970,6308
The GCF of 4952,2046 is 2 .
LCM of 970,6308 is 3059380.
The greatest common factor of 4952/970,2046/6308 = [GCF of 4952,2046]/[LCM of 970,6308]= 2/3059380
Therefore, the GCF of 4952/970,2046/6308 is 2/3059380.
To find the highest common factor of 4952,2046, we have to find the factors of both numbers and list the highest common factor.
The factors of 4952 are 1, 2, 4, 8, 619, 1238, 2476, 4952
The factors of 2046 are 1, 2, 3, 6, 11, 22, 31, 33, 62, 66, 93, 186, 341, 682, 1023, 2046
The HCF of 4952,2046 is 2.
Lets's calculate GCF of 4952,2046
| 2 | 4952, 2046 |
| 2476, 1023 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4952,2046 By Matching Biggest Common Factor Method
Now, list down the factors of 4952
:1,2,4,8,619,1238,2476,4952
Now, list down the factors of 2046
:1,2,3,6,11,22,31,33,62,66,93,186,341,682,1023,2046
Greatest Common Factor
We found the factors 4952,2046 . The biggest common factor number is the GCF number.
So the greatest common factor 4952,2046 is 2.
Lets's calculate LCM of 970,6308
| 2 | 970, 6308 |
| 485, 3154 |
∴ So the LCM of the given numbers is 2 x 485 x 3154 = 3059380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3059380
Therefore, the GCF of Fractions 4952/970,2046/6308 is 2/3059380
Least Common Multiple of 970,6308 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 970,6308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,6308) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(970,6308) x common factors =2 x 1 = 2
LCM(970,6308) = ( 970 × 6308 ) / 2
LCM(970,6308) = 6118760 / 2
LCM(970,6308) = 3059380
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FAQs on GCF of Fractions of 4952/970, 2046/6308
1. What is the HCF of 4952,2046?
The HCF of 4952,2046 is 2
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 4952/970, 2046/6308?
Answer: GCF of Numerators as per given numbers 4952/970, 2046/6308 is
GCF of Numerators i.e. for 4952,2046 is 2
LCM of denominators i.e. for 970,6308 is 3059380.
Thus, GCF of Fractions is 2/3059380.Finally, GCF of Fractions for 4952/970, 2046/6308 is 2/3059380.