GCF of 6685/696, 3486/1694
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6685/696, 3486/1694 i.e 7/589512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6685/696, 3486/1694.
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 6685/696,3486/1694?
Given fractions are 6685/696,3486/1694
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 6685/696,3486/1694, numerators are 6685,3486
Denominators are 696,1694
The GCF of 6685,3486 is 7 .
LCM of 696,1694 is 589512.
The greatest common factor of 6685/696,3486/1694 = [GCF of 6685,3486]/[LCM of 696,1694]= 7/589512
Therefore, the GCF of 6685/696,3486/1694 is 7/589512.
To find the highest common factor of 6685,3486, we have to find the factors of both numbers and list the highest common factor.
The factors of 6685 are 1, 5, 7, 35, 191, 955, 1337, 6685
The factors of 3486 are 1, 2, 3, 6, 7, 14, 21, 42, 83, 166, 249, 498, 581, 1162, 1743, 3486
The HCF of 6685,3486 is 7.
Lets's calculate GCF of 6685,3486
| 7 | 6685, 3486 |
| 955, 498 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6685,3486 By Matching Biggest Common Factor Method
Now, list down the factors of 6685
:1,5,7,35,191,955,1337,6685
Now, list down the factors of 3486
:1,2,3,6,7,14,21,42,83,166,249,498,581,1162,1743,3486
Greatest Common Factor
We found the factors 6685,3486 . The biggest common factor number is the GCF number.
So the greatest common factor 6685,3486 is 7.
Lets's calculate LCM of 696,1694
| 2 | 696, 1694 |
| 348, 847 |
∴ So the LCM of the given numbers is 2 x 348 x 847 = 589512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/589512
Therefore, the GCF of Fractions 6685/696,3486/1694 is 7/589512
Least Common Multiple of 696,1694 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 696,1694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,1694) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(696,1694) x common factors =2 x 1 = 2
LCM(696,1694) = ( 696 × 1694 ) / 2
LCM(696,1694) = 1179024 / 2
LCM(696,1694) = 589512
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FAQs on GCF of Fractions of 6685/696, 3486/1694
1. What is the HCF of 6685,3486?
The HCF of 6685,3486 is 7
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 6685/696, 3486/1694?
Answer: GCF of Numerators as per given numbers 6685/696, 3486/1694 is
GCF of Numerators i.e. for 6685,3486 is 7
LCM of denominators i.e. for 696,1694 is 589512.
Thus, GCF of Fractions is 7/589512.Finally, GCF of Fractions for 6685/696, 3486/1694 is 7/589512.