Highest Common Factor of 957, 169, 62 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 957, 169, 62 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 957, 169, 62 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 957, 169, 62 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 957, 169, 62 is 1.
HCF(957, 169, 62) = 1
HCF of 957, 169, 62 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 957, 169, 62 is 1.
Highest Common Factor of 957,169,62 is 1
Step 1: Since 957 > 169, we apply the division lemma to 957 and 169, to get
957 = 169 x 5 + 112
Step 2: Since the reminder 169 ≠ 0, we apply division lemma to 112 and 169, to get
169 = 112 x 1 + 57
Step 3: We consider the new divisor 112 and the new remainder 57, and apply the division lemma to get
112 = 57 x 1 + 55
We consider the new divisor 57 and the new remainder 55,and apply the division lemma to get
57 = 55 x 1 + 2
We consider the new divisor 55 and the new remainder 2,and apply the division lemma to get
55 = 2 x 27 + 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 957 and 169 is 1
Notice that 1 = HCF(2,1) = HCF(55,2) = HCF(57,55) = HCF(112,57) = HCF(169,112) = HCF(957,169) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 62 > 1, we apply the division lemma to 62 and 1, to get
62 = 1 x 62 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 62 is 1
Notice that 1 = HCF(62,1) .
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Frequently Asked Questions on HCF of 957, 169, 62 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 957, 169, 62?
Answer: HCF of 957, 169, 62 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 957, 169, 62 using Euclid's Algorithm?
Answer: For arbitrary numbers 957, 169, 62 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
