Highest Common Factor of 431, 244 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 431, 244 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 431, 244 is 1 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 431, 244 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 431, 244 is 1.
HCF(431, 244) = 1
HCF of 431, 244 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 431, 244 is 1.
Highest Common Factor of 431,244 is 1
Step 1: Since 431 > 244, we apply the division lemma to 431 and 244, to get
431 = 244 x 1 + 187
Step 2: Since the reminder 244 ≠ 0, we apply division lemma to 187 and 244, to get
244 = 187 x 1 + 57
Step 3: We consider the new divisor 187 and the new remainder 57, and apply the division lemma to get
187 = 57 x 3 + 16
We consider the new divisor 57 and the new remainder 16,and apply the division lemma to get
57 = 16 x 3 + 9
We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get
16 = 9 x 1 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 431 and 244 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(57,16) = HCF(187,57) = HCF(244,187) = HCF(431,244) .
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Frequently Asked Questions on HCF of 431, 244 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 431, 244?
Answer: HCF of 431, 244 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 431, 244 using Euclid's Algorithm?
Answer: For arbitrary numbers 431, 244 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.