Highest Common Factor of 691, 965, 141 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 691, 965, 141 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 691, 965, 141 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 691, 965, 141 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 691, 965, 141 is 1.
HCF(691, 965, 141) = 1
HCF of 691, 965, 141 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 691, 965, 141 is 1.
Highest Common Factor of 691,965,141 is 1
Step 1: Since 965 > 691, we apply the division lemma to 965 and 691, to get
965 = 691 x 1 + 274
Step 2: Since the reminder 691 ≠ 0, we apply division lemma to 274 and 691, to get
691 = 274 x 2 + 143
Step 3: We consider the new divisor 274 and the new remainder 143, and apply the division lemma to get
274 = 143 x 1 + 131
We consider the new divisor 143 and the new remainder 131,and apply the division lemma to get
143 = 131 x 1 + 12
We consider the new divisor 131 and the new remainder 12,and apply the division lemma to get
131 = 12 x 10 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 691 and 965 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(131,12) = HCF(143,131) = HCF(274,143) = HCF(691,274) = HCF(965,691) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 141 > 1, we apply the division lemma to 141 and 1, to get
141 = 1 x 141 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 141 is 1
Notice that 1 = HCF(141,1) .
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Frequently Asked Questions on HCF of 691, 965, 141 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 691, 965, 141?
Answer: HCF of 691, 965, 141 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 691, 965, 141 using Euclid's Algorithm?
Answer: For arbitrary numbers 691, 965, 141 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.