Highest Common Factor of 461, 557, 792, 89 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 461, 557, 792, 89 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 461, 557, 792, 89 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 461, 557, 792, 89 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 461, 557, 792, 89 is 1.
HCF(461, 557, 792, 89) = 1
HCF of 461, 557, 792, 89 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 461, 557, 792, 89 is 1.
Highest Common Factor of 461,557,792,89 is 1
Step 1: Since 557 > 461, we apply the division lemma to 557 and 461, to get
557 = 461 x 1 + 96
Step 2: Since the reminder 461 ≠ 0, we apply division lemma to 96 and 461, to get
461 = 96 x 4 + 77
Step 3: We consider the new divisor 96 and the new remainder 77, and apply the division lemma to get
96 = 77 x 1 + 19
We consider the new divisor 77 and the new remainder 19,and apply the division lemma to get
77 = 19 x 4 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 461 and 557 is 1
Notice that 1 = HCF(19,1) = HCF(77,19) = HCF(96,77) = HCF(461,96) = HCF(557,461) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 792 > 1, we apply the division lemma to 792 and 1, to get
792 = 1 x 792 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 792 is 1
Notice that 1 = HCF(792,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 89 > 1, we apply the division lemma to 89 and 1, to get
89 = 1 x 89 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 89 is 1
Notice that 1 = HCF(89,1) .
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Frequently Asked Questions on HCF of 461, 557, 792, 89 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 461, 557, 792, 89?
Answer: HCF of 461, 557, 792, 89 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 461, 557, 792, 89 using Euclid's Algorithm?
Answer: For arbitrary numbers 461, 557, 792, 89 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.