GCF of 2956/778, 9672/8605
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2956/778, 9672/8605 i.e 4/6694690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2956/778, 9672/8605.
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 2956/778,9672/8605?
Given fractions are 2956/778,9672/8605
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 2956/778,9672/8605, numerators are 2956,9672
Denominators are 778,8605
The GCF of 2956,9672 is 4 .
LCM of 778,8605 is 6694690.
The greatest common factor of 2956/778,9672/8605 = [GCF of 2956,9672]/[LCM of 778,8605]= 4/6694690
Therefore, the GCF of 2956/778,9672/8605 is 4/6694690.
To find the highest common factor of 2956,9672, we have to find the factors of both numbers and list the highest common factor.
The factors of 2956 are 1, 2, 4, 739, 1478, 2956
The factors of 9672 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 31, 39, 52, 62, 78, 93, 104, 124, 156, 186, 248, 312, 372, 403, 744, 806, 1209, 1612, 2418, 3224, 4836, 9672
The HCF of 2956,9672 is 4.
Lets's calculate GCF of 2956,9672
| 2 | 2956, 9672 |
| 2 | 1478, 4836 |
| 739, 2418 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2956,9672 By Matching Biggest Common Factor Method
Now, list down the factors of 2956
:1,2,4,739,1478,2956
Now, list down the factors of 9672
:1,2,3,4,6,8,12,13,24,26,31,39,52,62,78,93,104,124,156,186,248,312,372,403,744,806,1209,1612,2418,3224,4836,9672
Greatest Common Factor
We found the factors 2956,9672 . The biggest common factor number is the GCF number.
So the greatest common factor 2956,9672 is 4.
Lets's calculate LCM of 778,8605
Given numbers has no common factors except 1. So, there LCM is their product i.e 6694690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6694690
Therefore, the GCF of Fractions 2956/778,9672/8605 is 4/6694690
Least Common Multiple of 778,8605 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 778,8605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,8605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(778,8605) x common factors =1 x 1 = 1
LCM(778,8605) = ( 778 × 8605 ) / 1
LCM(778,8605) = 6694690 / 1
LCM(778,8605) = 6694690
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FAQs on GCF of Fractions of 2956/778, 9672/8605
1. What is the HCF of 2956,9672?
The HCF of 2956,9672 is 4
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 2956/778, 9672/8605?
Answer: GCF of Numerators as per given numbers 2956/778, 9672/8605 is
GCF of Numerators i.e. for 2956,9672 is 4
LCM of denominators i.e. for 778,8605 is 6694690.
Thus, GCF of Fractions is 4/6694690.Finally, GCF of Fractions for 2956/778, 9672/8605 is 4/6694690.