Highest Common Factor of 557, 761, 189, 51 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 557, 761, 189, 51 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 557, 761, 189, 51 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 557, 761, 189, 51 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 557, 761, 189, 51 is 1.
HCF(557, 761, 189, 51) = 1
HCF of 557, 761, 189, 51 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 557, 761, 189, 51 is 1.
Highest Common Factor of 557,761,189,51 is 1
Step 1: Since 761 > 557, we apply the division lemma to 761 and 557, to get
761 = 557 x 1 + 204
Step 2: Since the reminder 557 ≠ 0, we apply division lemma to 204 and 557, to get
557 = 204 x 2 + 149
Step 3: We consider the new divisor 204 and the new remainder 149, and apply the division lemma to get
204 = 149 x 1 + 55
We consider the new divisor 149 and the new remainder 55,and apply the division lemma to get
149 = 55 x 2 + 39
We consider the new divisor 55 and the new remainder 39,and apply the division lemma to get
55 = 39 x 1 + 16
We consider the new divisor 39 and the new remainder 16,and apply the division lemma to get
39 = 16 x 2 + 7
We consider the new divisor 16 and the new remainder 7,and apply the division lemma to get
16 = 7 x 2 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 557 and 761 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(16,7) = HCF(39,16) = HCF(55,39) = HCF(149,55) = HCF(204,149) = HCF(557,204) = HCF(761,557) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 189 > 1, we apply the division lemma to 189 and 1, to get
189 = 1 x 189 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 189 is 1
Notice that 1 = HCF(189,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 51 > 1, we apply the division lemma to 51 and 1, to get
51 = 1 x 51 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 51 is 1
Notice that 1 = HCF(51,1) .
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Frequently Asked Questions on HCF of 557, 761, 189, 51 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 557, 761, 189, 51?
Answer: HCF of 557, 761, 189, 51 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 557, 761, 189, 51 using Euclid's Algorithm?
Answer: For arbitrary numbers 557, 761, 189, 51 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.