How to Find GCF of 34/298, 3516/7908?

GCF of 34/298, 3516/7908

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 34/298, 3516/7908 i.e 2/1178292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/298, 3516/7908.

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 34/298,3516/7908?

Given fractions are 34/298,3516/7908

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 34/298,3516/7908, numerators are 34,3516

Denominators are 298,7908

The GCF of 34,3516 is 2 .

LCM of 298,7908 is 1178292.

The greatest common factor of 34/298,3516/7908 = [GCF of 34,3516]/[LCM of 298,7908]= 2/1178292

Therefore, the GCF of 34/298,3516/7908 is 2/1178292.

Greatest Common Factor of 34,3516

To find the highest common factor of 34,3516, we have to find the factors of both numbers and list the highest common factor.

The factors of 34 are 1, 2, 17, 34

The factors of 3516 are 1, 2, 3, 4, 6, 12, 293, 586, 879, 1172, 1758, 3516

The HCF of 34,3516 is 2.

Lets's calculate GCF of 34,3516

Greatest Common Factor (GCF) of 34,3516 By Common Division

2	34, 3516
	17, 1758

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 34,3516 By Matching Biggest Common Factor Method

Now, list down the factors of 34

1,2,17,34

Now, list down the factors of 3516

1,2,3,4,6,12,293,586,879,1172,1758,3516

Greatest Common Factor

We found the factors 34,3516 . The biggest common factor number is the GCF number.
So the greatest common factor 34,3516 is 2.

Lets's calculate LCM of 298,7908

Lowest Common Multiple of 298,7908 using Common Division

2	298, 7908
	149, 3954

∴ So the LCM of the given numbers is 2 x 149 x 3954 = 1178292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1178292

Therefore, the GCF of Fractions 34/298,3516/7908 is 2/1178292

Least Common Multiple of 298,7908 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 298,7908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,7908) = 2

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

GCF(298,7908) x common factors =2 x 1 = 2

LCM(298,7908) = ( 298 × 7908 ) / 2

LCM(298,7908) = 2356584 / 2

LCM(298,7908) = 1178292

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FAQs on GCF of Fractions of 34/298, 3516/7908

1. What is the HCF of 34,3516?

The HCF of 34,3516 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 34/298, 3516/7908?

Answer: GCF of Numerators as per given numbers 34/298, 3516/7908 is

GCF of Numerators i.e. for 34,3516 is 2

LCM of denominators i.e. for 298,7908 is 1178292.

Thus, GCF of Fractions is 2/1178292.Finally, GCF of Fractions for 34/298, 3516/7908 is 2/1178292.