Highest Common Factor of 804, 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 804, 238 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 804, 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 804, 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 804, 238 is 2.
HCF(804, 238) = 2
HCF of 804, 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 804, 238 is 2.
Highest Common Factor of 804,238 is 2
Step 1: Since 804 > 238, we apply the division lemma to 804 and 238, to get
804 = 238 x 3 + 90
Step 2: Since the reminder 238 ≠ 0, we apply division lemma to 90 and 238, to get
238 = 90 x 2 + 58
Step 3: We consider the new divisor 90 and the new remainder 58, and apply the division lemma to get
90 = 58 x 1 + 32
We consider the new divisor 58 and the new remainder 32,and apply the division lemma to get
58 = 32 x 1 + 26
We consider the new divisor 32 and the new remainder 26,and apply the division lemma to get
32 = 26 x 1 + 6
We consider the new divisor 26 and the new remainder 6,and apply the division lemma to get
26 = 6 x 4 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 804 and 238 is 2
Notice that 2 = HCF(6,2) = HCF(26,6) = HCF(32,26) = HCF(58,32) = HCF(90,58) = HCF(238,90) = HCF(804,238) .
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Frequently Asked Questions on HCF of 804, 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 804, 238?
Answer: HCF of 804, 238 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 804, 238 using Euclid's Algorithm?
Answer: For arbitrary numbers 804, 238 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.