How to Find GCF of 850/684, 3876/445?

GCF of 850/684, 3876/445

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 850/684, 3876/445 i.e 34/304380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 850/684, 3876/445.

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 850/684,3876/445?

Given fractions are 850/684,3876/445

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 850/684,3876/445, numerators are 850,3876

Denominators are 684,445

The GCF of 850,3876 is 34 .

LCM of 684,445 is 304380.

The greatest common factor of 850/684,3876/445 = [GCF of 850,3876]/[LCM of 684,445]= 34/304380

Therefore, the GCF of 850/684,3876/445 is 34/304380.

Greatest Common Factor of 850,3876

To find the highest common factor of 850,3876, we have to find the factors of both numbers and list the highest common factor.

The factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

The factors of 3876 are 1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938, 3876

The HCF of 850,3876 is 34.

Lets's calculate GCF of 850,3876

Greatest Common Factor (GCF) of 850,3876 By Common Division

2	850, 3876
17	425, 1938
	25, 114

∴ So the GCF of the given numbers is 2 x 17 = 34

Greatest Common Factor of 850,3876 By Matching Biggest Common Factor Method

Now, list down the factors of 850

1,2,5,10,17,25,34,50,85,170,425,850

Now, list down the factors of 3876

1,2,3,4,6,12,17,19,34,38,51,57,68,76,102,114,204,228,323,646,969,1292,1938,3876

Greatest Common Factor

We found the factors 850,3876 . The biggest common factor number is the GCF number.
So the greatest common factor 850,3876 is 34.

Lets's calculate LCM of 684,445

Lowest Common Multiple of 684,445 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 304380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/304380

Therefore, the GCF of Fractions 850/684,3876/445 is 34/304380

Least Common Multiple of 684,445 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 684,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,445) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(684,445) x common factors =1 x 1 = 1

LCM(684,445) = ( 684 × 445 ) / 1

LCM(684,445) = 304380 / 1

LCM(684,445) = 304380

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FAQs on GCF of Fractions of 850/684, 3876/445

1. What is the HCF of 850,3876?

The HCF of 850,3876 is 34

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 850/684, 3876/445?

Answer: GCF of Numerators as per given numbers 850/684, 3876/445 is

GCF of Numerators i.e. for 850,3876 is 34

LCM of denominators i.e. for 684,445 is 304380.

Thus, GCF of Fractions is 34/304380.Finally, GCF of Fractions for 850/684, 3876/445 is 34/304380.