Highest Common Factor of 611, 977, 709 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, 977, 709 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 611, 977, 709 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, 977, 709 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, 977, 709 is 1.
HCF(611, 977, 709) = 1
HCF of 611, 977, 709 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, 977, 709 is 1.
Highest Common Factor of 611,977,709 is 1
Step 1: Since 977 > 611, we apply the division lemma to 977 and 611, to get
977 = 611 x 1 + 366
Step 2: Since the reminder 611 ≠ 0, we apply division lemma to 366 and 611, to get
611 = 366 x 1 + 245
Step 3: We consider the new divisor 366 and the new remainder 245, and apply the division lemma to get
366 = 245 x 1 + 121
We consider the new divisor 245 and the new remainder 121,and apply the division lemma to get
245 = 121 x 2 + 3
We consider the new divisor 121 and the new remainder 3,and apply the division lemma to get
121 = 3 x 40 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 611 and 977 is 1
Notice that 1 = HCF(3,1) = HCF(121,3) = HCF(245,121) = HCF(366,245) = HCF(611,366) = HCF(977,611) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 709 > 1, we apply the division lemma to 709 and 1, to get
709 = 1 x 709 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 709 is 1
Notice that 1 = HCF(709,1) .
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Frequently Asked Questions on HCF of 611, 977, 709 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, 977, 709?
Answer: HCF of 611, 977, 709 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 611, 977, 709 using Euclid's Algorithm?
Answer: For arbitrary numbers 611, 977, 709 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.