Highest Common Factor of 425, 162, 952, 169 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 425, 162, 952, 169 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 425, 162, 952, 169 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 425, 162, 952, 169 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 425, 162, 952, 169 is 1.
HCF(425, 162, 952, 169) = 1
HCF of 425, 162, 952, 169 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 425, 162, 952, 169 is 1.
Highest Common Factor of 425,162,952,169 is 1
Step 1: Since 425 > 162, we apply the division lemma to 425 and 162, to get
425 = 162 x 2 + 101
Step 2: Since the reminder 162 ≠ 0, we apply division lemma to 101 and 162, to get
162 = 101 x 1 + 61
Step 3: We consider the new divisor 101 and the new remainder 61, and apply the division lemma to get
101 = 61 x 1 + 40
We consider the new divisor 61 and the new remainder 40,and apply the division lemma to get
61 = 40 x 1 + 21
We consider the new divisor 40 and the new remainder 21,and apply the division lemma to get
40 = 21 x 1 + 19
We consider the new divisor 21 and the new remainder 19,and apply the division lemma to get
21 = 19 x 1 + 2
We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get
19 = 2 x 9 + 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 425 and 162 is 1
Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(21,19) = HCF(40,21) = HCF(61,40) = HCF(101,61) = HCF(162,101) = HCF(425,162) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 952 > 1, we apply the division lemma to 952 and 1, to get
952 = 1 x 952 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 952 is 1
Notice that 1 = HCF(952,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 169 > 1, we apply the division lemma to 169 and 1, to get
169 = 1 x 169 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 169 is 1
Notice that 1 = HCF(169,1) .
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Frequently Asked Questions on HCF of 425, 162, 952, 169 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 425, 162, 952, 169?
Answer: HCF of 425, 162, 952, 169 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 425, 162, 952, 169 using Euclid's Algorithm?
Answer: For arbitrary numbers 425, 162, 952, 169 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.