Highest Common Factor of 565, 981 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 565, 981 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 565, 981 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 565, 981 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 565, 981 is 1.
HCF(565, 981) = 1
HCF of 565, 981 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 565, 981 is 1.
Highest Common Factor of 565,981 is 1
Step 1: Since 981 > 565, we apply the division lemma to 981 and 565, to get
981 = 565 x 1 + 416
Step 2: Since the reminder 565 ≠ 0, we apply division lemma to 416 and 565, to get
565 = 416 x 1 + 149
Step 3: We consider the new divisor 416 and the new remainder 149, and apply the division lemma to get
416 = 149 x 2 + 118
We consider the new divisor 149 and the new remainder 118,and apply the division lemma to get
149 = 118 x 1 + 31
We consider the new divisor 118 and the new remainder 31,and apply the division lemma to get
118 = 31 x 3 + 25
We consider the new divisor 31 and the new remainder 25,and apply the division lemma to get
31 = 25 x 1 + 6
We consider the new divisor 25 and the new remainder 6,and apply the division lemma to get
25 = 6 x 4 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 565 and 981 is 1
Notice that 1 = HCF(6,1) = HCF(25,6) = HCF(31,25) = HCF(118,31) = HCF(149,118) = HCF(416,149) = HCF(565,416) = HCF(981,565) .
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Frequently Asked Questions on HCF of 565, 981 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 565, 981?
Answer: HCF of 565, 981 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 565, 981 using Euclid's Algorithm?
Answer: For arbitrary numbers 565, 981 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.