Highest Common Factor of 598, 138 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 598, 138 i.e. 46 the largest integer that leaves a remainder zero for all numbers.

HCF of 598, 138 is 46 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 598, 138 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 598, 138 is 46.

HCF(598, 138) = 46

HCF of 598, 138 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 598, 138 is 46.

Highest Common Factor of 598,138 using Euclid's algorithm

Highest Common Factor of 598,138 is 46

Step 1: Since 598 > 138, we apply the division lemma to 598 and 138, to get

598 = 138 x 4 + 46

Step 2: Since the reminder 138 ≠ 0, we apply division lemma to 46 and 138, to get

138 = 46 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 46, the HCF of 598 and 138 is 46

Notice that 46 = HCF(138,46) = HCF(598,138) .

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Frequently Asked Questions on HCF of 598, 138 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 598, 138?

Answer: HCF of 598, 138 is 46 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 598, 138 using Euclid's Algorithm?

Answer: For arbitrary numbers 598, 138 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.