GCF of 1278/165, 3712/5606
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1278/165, 3712/5606 i.e 2/924990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1278/165, 3712/5606.
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 1278/165,3712/5606?
Given fractions are 1278/165,3712/5606
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 1278/165,3712/5606, numerators are 1278,3712
Denominators are 165,5606
The GCF of 1278,3712 is 2 .
LCM of 165,5606 is 924990.
The greatest common factor of 1278/165,3712/5606 = [GCF of 1278,3712]/[LCM of 165,5606]= 2/924990
Therefore, the GCF of 1278/165,3712/5606 is 2/924990.
To find the highest common factor of 1278,3712, we have to find the factors of both numbers and list the highest common factor.
The factors of 1278 are 1, 2, 3, 6, 9, 18, 71, 142, 213, 426, 639, 1278
The factors of 3712 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 464, 928, 1856, 3712
The HCF of 1278,3712 is 2.
Lets's calculate GCF of 1278,3712
| 2 | 1278, 3712 |
| 639, 1856 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1278,3712 By Matching Biggest Common Factor Method
Now, list down the factors of 1278
:1,2,3,6,9,18,71,142,213,426,639,1278
Now, list down the factors of 3712
:1,2,4,8,16,29,32,58,64,116,128,232,464,928,1856,3712
Greatest Common Factor
We found the factors 1278,3712 . The biggest common factor number is the GCF number.
So the greatest common factor 1278,3712 is 2.
Lets's calculate LCM of 165,5606
Given numbers has no common factors except 1. So, there LCM is their product i.e 924990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/924990
Therefore, the GCF of Fractions 1278/165,3712/5606 is 2/924990
Least Common Multiple of 165,5606 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 165,5606 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,5606) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(165,5606) x common factors =1 x 1 = 1
LCM(165,5606) = ( 165 × 5606 ) / 1
LCM(165,5606) = 924990 / 1
LCM(165,5606) = 924990
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FAQs on GCF of Fractions of 1278/165, 3712/5606
1. What is the HCF of 1278,3712?
The HCF of 1278,3712 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 1278/165, 3712/5606?
Answer: GCF of Numerators as per given numbers 1278/165, 3712/5606 is
GCF of Numerators i.e. for 1278,3712 is 2
LCM of denominators i.e. for 165,5606 is 924990.
Thus, GCF of Fractions is 2/924990.Finally, GCF of Fractions for 1278/165, 3712/5606 is 2/924990.