Highest Common Factor of 986, 269, 22 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 986, 269, 22 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 986, 269, 22 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 986, 269, 22 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 986, 269, 22 is 1.
HCF(986, 269, 22) = 1
HCF of 986, 269, 22 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 986, 269, 22 is 1.
Highest Common Factor of 986,269,22 is 1
Step 1: Since 986 > 269, we apply the division lemma to 986 and 269, to get
986 = 269 x 3 + 179
Step 2: Since the reminder 269 ≠ 0, we apply division lemma to 179 and 269, to get
269 = 179 x 1 + 90
Step 3: We consider the new divisor 179 and the new remainder 90, and apply the division lemma to get
179 = 90 x 1 + 89
We consider the new divisor 90 and the new remainder 89,and apply the division lemma to get
90 = 89 x 1 + 1
We consider the new divisor 89 and the new remainder 1,and apply the division lemma to get
89 = 1 x 89 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 986 and 269 is 1
Notice that 1 = HCF(89,1) = HCF(90,89) = HCF(179,90) = HCF(269,179) = HCF(986,269) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 22 > 1, we apply the division lemma to 22 and 1, to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 22 is 1
Notice that 1 = HCF(22,1) .
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Frequently Asked Questions on HCF of 986, 269, 22 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 986, 269, 22?
Answer: HCF of 986, 269, 22 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 986, 269, 22 using Euclid's Algorithm?
Answer: For arbitrary numbers 986, 269, 22 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.