GCF of 2495/917, 6955/154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2495/917, 6955/154 i.e 5/20174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2495/917, 6955/154.
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 2495/917,6955/154?
Given fractions are 2495/917,6955/154
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 2495/917,6955/154, numerators are 2495,6955
Denominators are 917,154
The GCF of 2495,6955 is 5 .
LCM of 917,154 is 20174.
The greatest common factor of 2495/917,6955/154 = [GCF of 2495,6955]/[LCM of 917,154]= 5/20174
Therefore, the GCF of 2495/917,6955/154 is 5/20174.
To find the highest common factor of 2495,6955, we have to find the factors of both numbers and list the highest common factor.
The factors of 2495 are 1, 5, 499, 2495
The factors of 6955 are 1, 5, 13, 65, 107, 535, 1391, 6955
The HCF of 2495,6955 is 5.
Lets's calculate GCF of 2495,6955
| 5 | 2495, 6955 |
| 499, 1391 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2495,6955 By Matching Biggest Common Factor Method
Now, list down the factors of 2495
:1,5,499,2495
Now, list down the factors of 6955
:1,5,13,65,107,535,1391,6955
Greatest Common Factor
We found the factors 2495,6955 . The biggest common factor number is the GCF number.
So the greatest common factor 2495,6955 is 5.
Lets's calculate LCM of 917,154
| 7 | 917, 154 |
| 131, 22 |
∴ So the LCM of the given numbers is 7 x 131 x 22 = 20174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/20174
Therefore, the GCF of Fractions 2495/917,6955/154 is 5/20174
Least Common Multiple of 917,154 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 917,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,154) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(917,154) x common factors =7 x 1 = 7
LCM(917,154) = ( 917 × 154 ) / 7
LCM(917,154) = 141218 / 7
LCM(917,154) = 20174
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FAQs on GCF of Fractions of 2495/917, 6955/154
1. What is the HCF of 2495,6955?
The HCF of 2495,6955 is 5
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 2495/917, 6955/154?
Answer: GCF of Numerators as per given numbers 2495/917, 6955/154 is
GCF of Numerators i.e. for 2495,6955 is 5
LCM of denominators i.e. for 917,154 is 20174.
Thus, GCF of Fractions is 5/20174.Finally, GCF of Fractions for 2495/917, 6955/154 is 5/20174.