Highest Common Factor of 594, 756, 238 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 594, 756, 238 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 594, 756, 238 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 594, 756, 238 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 594, 756, 238 is 2.
HCF(594, 756, 238) = 2
HCF of 594, 756, 238 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 594, 756, 238 is 2.
Highest Common Factor of 594,756,238 is 2
Step 1: Since 756 > 594, we apply the division lemma to 756 and 594, to get
756 = 594 x 1 + 162
Step 2: Since the reminder 594 ≠ 0, we apply division lemma to 162 and 594, to get
594 = 162 x 3 + 108
Step 3: We consider the new divisor 162 and the new remainder 108, and apply the division lemma to get
162 = 108 x 1 + 54
We consider the new divisor 108 and the new remainder 54, and apply the division lemma to get
108 = 54 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 54, the HCF of 594 and 756 is 54
Notice that 54 = HCF(108,54) = HCF(162,108) = HCF(594,162) = HCF(756,594) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 238 > 54, we apply the division lemma to 238 and 54, to get
238 = 54 x 4 + 22
Step 2: Since the reminder 54 ≠ 0, we apply division lemma to 22 and 54, to get
54 = 22 x 2 + 10
Step 3: We consider the new divisor 22 and the new remainder 10, and apply the division lemma to get
22 = 10 x 2 + 2
We consider the new divisor 10 and the new remainder 2, and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 54 and 238 is 2
Notice that 2 = HCF(10,2) = HCF(22,10) = HCF(54,22) = HCF(238,54) .
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Frequently Asked Questions on HCF of 594, 756, 238 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 594, 756, 238?
Answer: HCF of 594, 756, 238 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 594, 756, 238 using Euclid's Algorithm?
Answer: For arbitrary numbers 594, 756, 238 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.