GCF of 1799/702, 2937/3502
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1799/702, 2937/3502 i.e 1/1229202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1799/702, 2937/3502.
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 1799/702,2937/3502?
Given fractions are 1799/702,2937/3502
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 1799/702,2937/3502, numerators are 1799,2937
Denominators are 702,3502
The GCF of 1799,2937 is 1 .
LCM of 702,3502 is 1229202.
The greatest common factor of 1799/702,2937/3502 = [GCF of 1799,2937]/[LCM of 702,3502]= 1/1229202
Therefore, the GCF of 1799/702,2937/3502 is 1/1229202.
To find the highest common factor of 1799,2937, we have to find the factors of both numbers and list the highest common factor.
The factors of 1799 are 1, 7, 257, 1799
The factors of 2937 are 1, 3, 11, 33, 89, 267, 979, 2937
The HCF of 1799,2937 is 1.
Lets's calculate GCF of 1799,2937
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1799,2937 By Matching Biggest Common Factor Method
Now, list down the factors of 1799
:1,7,257,1799
Now, list down the factors of 2937
:1,3,11,33,89,267,979,2937
Greatest Common Factor
We found the factors 1799,2937 . The biggest common factor number is the GCF number.
So the greatest common factor 1799,2937 is 1.
Lets's calculate LCM of 702,3502
| 2 | 702, 3502 |
| 351, 1751 |
∴ So the LCM of the given numbers is 2 x 351 x 1751 = 1229202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1229202
Therefore, the GCF of Fractions 1799/702,2937/3502 is 1/1229202
Least Common Multiple of 702,3502 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 702,3502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,3502) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(702,3502) x common factors =2 x 1 = 2
LCM(702,3502) = ( 702 × 3502 ) / 2
LCM(702,3502) = 2458404 / 2
LCM(702,3502) = 1229202
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FAQs on GCF of Fractions of 1799/702, 2937/3502
1. What is the HCF of 1799,2937?
The HCF of 1799,2937 is 1
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 1799/702, 2937/3502?
Answer: GCF of Numerators as per given numbers 1799/702, 2937/3502 is
GCF of Numerators i.e. for 1799,2937 is 1
LCM of denominators i.e. for 702,3502 is 1229202.
Thus, GCF of Fractions is 1/1229202.Finally, GCF of Fractions for 1799/702, 2937/3502 is 1/1229202.