Highest Common Factor of 611, 992, 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 611, 992, 244 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 611, 992, 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 611, 992, 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 611, 992, 244 is 1.
HCF(611, 992, 244) = 1
HCF of 611, 992, 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 611, 992, 244 is 1.
Highest Common Factor of 611,992,244 is 1
Step 1: Since 992 > 611, we apply the division lemma to 992 and 611, to get
992 = 611 x 1 + 381
Step 2: Since the reminder 611 ≠ 0, we apply division lemma to 381 and 611, to get
611 = 381 x 1 + 230
Step 3: We consider the new divisor 381 and the new remainder 230, and apply the division lemma to get
381 = 230 x 1 + 151
We consider the new divisor 230 and the new remainder 151,and apply the division lemma to get
230 = 151 x 1 + 79
We consider the new divisor 151 and the new remainder 79,and apply the division lemma to get
151 = 79 x 1 + 72
We consider the new divisor 79 and the new remainder 72,and apply the division lemma to get
79 = 72 x 1 + 7
We consider the new divisor 72 and the new remainder 7,and apply the division lemma to get
72 = 7 x 10 + 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 611 and 992 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(72,7) = HCF(79,72) = HCF(151,79) = HCF(230,151) = HCF(381,230) = HCF(611,381) = HCF(992,611) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 244 > 1, we apply the division lemma to 244 and 1, to get
244 = 1 x 244 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 244 is 1
Notice that 1 = HCF(244,1) .
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Frequently Asked Questions on HCF of 611, 992, 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 611, 992, 244?
Answer: HCF of 611, 992, 244 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 611, 992, 244 using Euclid's Algorithm?
Answer: For arbitrary numbers 611, 992, 244 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.