Highest Common Factor of 118, 162, 448 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 118, 162, 448 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 118, 162, 448 is 2 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 118, 162, 448 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 118, 162, 448 is 2.

HCF(118, 162, 448) = 2

HCF of 118, 162, 448 using Euclid's algorithm

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

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Highest common factor (HCF) of 118, 162, 448 is 2.

Highest Common Factor of 118,162,448 using Euclid's algorithm

Highest Common Factor of 118,162,448 is 2

Step 1: Since 162 > 118, we apply the division lemma to 162 and 118, to get

162 = 118 x 1 + 44

Step 2: Since the reminder 118 ≠ 0, we apply division lemma to 44 and 118, to get

118 = 44 x 2 + 30

Step 3: We consider the new divisor 44 and the new remainder 30, and apply the division lemma to get

44 = 30 x 1 + 14

We consider the new divisor 30 and the new remainder 14,and apply the division lemma to get

30 = 14 x 2 + 2

We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get

14 = 2 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 118 and 162 is 2

Notice that 2 = HCF(14,2) = HCF(30,14) = HCF(44,30) = HCF(118,44) = HCF(162,118) .


We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 448 > 2, we apply the division lemma to 448 and 2, to get

448 = 2 x 224 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 448 is 2

Notice that 2 = HCF(448,2) .

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Frequently Asked Questions on HCF of 118, 162, 448 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 118, 162, 448?

Answer: HCF of 118, 162, 448 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 118, 162, 448 using Euclid's Algorithm?

Answer: For arbitrary numbers 118, 162, 448 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.