Highest Common Factor of 957, 588, 507, 301 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, 588, 507, 301 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 957, 588, 507, 301 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, 588, 507, 301 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, 588, 507, 301 is 1.
HCF(957, 588, 507, 301) = 1
HCF of 957, 588, 507, 301 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, 588, 507, 301 is 1.
Highest Common Factor of 957,588,507,301 is 1
Step 1: Since 957 > 588, we apply the division lemma to 957 and 588, to get
957 = 588 x 1 + 369
Step 2: Since the reminder 588 ≠ 0, we apply division lemma to 369 and 588, to get
588 = 369 x 1 + 219
Step 3: We consider the new divisor 369 and the new remainder 219, and apply the division lemma to get
369 = 219 x 1 + 150
We consider the new divisor 219 and the new remainder 150,and apply the division lemma to get
219 = 150 x 1 + 69
We consider the new divisor 150 and the new remainder 69,and apply the division lemma to get
150 = 69 x 2 + 12
We consider the new divisor 69 and the new remainder 12,and apply the division lemma to get
69 = 12 x 5 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 957 and 588 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(69,12) = HCF(150,69) = HCF(219,150) = HCF(369,219) = HCF(588,369) = HCF(957,588) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 507 > 3, we apply the division lemma to 507 and 3, to get
507 = 3 x 169 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 507 is 3
Notice that 3 = HCF(507,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 301 > 3, we apply the division lemma to 301 and 3, to get
301 = 3 x 100 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 301 is 1
Notice that 1 = HCF(3,1) = HCF(301,3) .
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Frequently Asked Questions on HCF of 957, 588, 507, 301 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, 588, 507, 301?
Answer: HCF of 957, 588, 507, 301 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 957, 588, 507, 301 using Euclid's Algorithm?
Answer: For arbitrary numbers 957, 588, 507, 301 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.