GCF of 2354/116, 3478/8967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2354/116, 3478/8967 i.e 2/1040172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2354/116, 3478/8967.
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 2354/116,3478/8967?
Given fractions are 2354/116,3478/8967
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 2354/116,3478/8967, numerators are 2354,3478
Denominators are 116,8967
The GCF of 2354,3478 is 2 .
LCM of 116,8967 is 1040172.
The greatest common factor of 2354/116,3478/8967 = [GCF of 2354,3478]/[LCM of 116,8967]= 2/1040172
Therefore, the GCF of 2354/116,3478/8967 is 2/1040172.
To find the highest common factor of 2354,3478, we have to find the factors of both numbers and list the highest common factor.
The factors of 2354 are 1, 2, 11, 22, 107, 214, 1177, 2354
The factors of 3478 are 1, 2, 37, 47, 74, 94, 1739, 3478
The HCF of 2354,3478 is 2.
Lets's calculate GCF of 2354,3478
| 2 | 2354, 3478 |
| 1177, 1739 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2354,3478 By Matching Biggest Common Factor Method
Now, list down the factors of 2354
:1,2,11,22,107,214,1177,2354
Now, list down the factors of 3478
:1,2,37,47,74,94,1739,3478
Greatest Common Factor
We found the factors 2354,3478 . The biggest common factor number is the GCF number.
So the greatest common factor 2354,3478 is 2.
Lets's calculate LCM of 116,8967
Given numbers has no common factors except 1. So, there LCM is their product i.e 1040172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1040172
Therefore, the GCF of Fractions 2354/116,3478/8967 is 2/1040172
Least Common Multiple of 116,8967 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 116,8967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,8967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(116,8967) x common factors =1 x 1 = 1
LCM(116,8967) = ( 116 × 8967 ) / 1
LCM(116,8967) = 1040172 / 1
LCM(116,8967) = 1040172
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FAQs on GCF of Fractions of 2354/116, 3478/8967
1. What is the HCF of 2354,3478?
The HCF of 2354,3478 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 2354/116, 3478/8967?
Answer: GCF of Numerators as per given numbers 2354/116, 3478/8967 is
GCF of Numerators i.e. for 2354,3478 is 2
LCM of denominators i.e. for 116,8967 is 1040172.
Thus, GCF of Fractions is 2/1040172.Finally, GCF of Fractions for 2354/116, 3478/8967 is 2/1040172.