GCF of 7020/196, 8967/301
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7020/196, 8967/301 i.e 3/8428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7020/196, 8967/301.
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 7020/196,8967/301?
Given fractions are 7020/196,8967/301
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 7020/196,8967/301, numerators are 7020,8967
Denominators are 196,301
The GCF of 7020,8967 is 3 .
LCM of 196,301 is 8428.
The greatest common factor of 7020/196,8967/301 = [GCF of 7020,8967]/[LCM of 196,301]= 3/8428
Therefore, the GCF of 7020/196,8967/301 is 3/8428.
To find the highest common factor of 7020,8967, we have to find the factors of both numbers and list the highest common factor.
The factors of 7020 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 90, 108, 117, 130, 135, 156, 180, 195, 234, 260, 270, 351, 390, 468, 540, 585, 702, 780, 1170, 1404, 1755, 2340, 3510, 7020
The factors of 8967 are 1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967
The HCF of 7020,8967 is 3.
Lets's calculate GCF of 7020,8967
| 3 | 7020, 8967 |
| 2340, 2989 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7020,8967 By Matching Biggest Common Factor Method
Now, list down the factors of 7020
:1,2,3,4,5,6,9,10,12,13,15,18,20,26,27,30,36,39,45,52,54,60,65,78,90,108,117,130,135,156,180,195,234,260,270,351,390,468,540,585,702,780,1170,1404,1755,2340,3510,7020
Now, list down the factors of 8967
:1,3,7,21,49,61,147,183,427,1281,2989,8967
Greatest Common Factor
We found the factors 7020,8967 . The biggest common factor number is the GCF number.
So the greatest common factor 7020,8967 is 3.
Lets's calculate LCM of 196,301
| 7 | 196, 301 |
| 28, 43 |
∴ So the LCM of the given numbers is 7 x 28 x 43 = 8428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8428
Therefore, the GCF of Fractions 7020/196,8967/301 is 3/8428
Least Common Multiple of 196,301 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 196,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,301) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(196,301) x common factors =7 x 1 = 7
LCM(196,301) = ( 196 × 301 ) / 7
LCM(196,301) = 58996 / 7
LCM(196,301) = 8428
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FAQs on GCF of Fractions of 7020/196, 8967/301
1. What is the HCF of 7020,8967?
The HCF of 7020,8967 is 3
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 7020/196, 8967/301?
Answer: GCF of Numerators as per given numbers 7020/196, 8967/301 is
GCF of Numerators i.e. for 7020,8967 is 3
LCM of denominators i.e. for 196,301 is 8428.
Thus, GCF of Fractions is 3/8428.Finally, GCF of Fractions for 7020/196, 8967/301 is 3/8428.