Highest Common Factor of 538, 931, 315, 737 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 538, 931, 315, 737 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 538, 931, 315, 737 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 538, 931, 315, 737 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 538, 931, 315, 737 is 1.
HCF(538, 931, 315, 737) = 1
HCF of 538, 931, 315, 737 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 538, 931, 315, 737 is 1.
Highest Common Factor of 538,931,315,737 is 1
Step 1: Since 931 > 538, we apply the division lemma to 931 and 538, to get
931 = 538 x 1 + 393
Step 2: Since the reminder 538 ≠ 0, we apply division lemma to 393 and 538, to get
538 = 393 x 1 + 145
Step 3: We consider the new divisor 393 and the new remainder 145, and apply the division lemma to get
393 = 145 x 2 + 103
We consider the new divisor 145 and the new remainder 103,and apply the division lemma to get
145 = 103 x 1 + 42
We consider the new divisor 103 and the new remainder 42,and apply the division lemma to get
103 = 42 x 2 + 19
We consider the new divisor 42 and the new remainder 19,and apply the division lemma to get
42 = 19 x 2 + 4
We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get
19 = 4 x 4 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma 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 538 and 931 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(42,19) = HCF(103,42) = HCF(145,103) = HCF(393,145) = HCF(538,393) = HCF(931,538) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 315 > 1, we apply the division lemma to 315 and 1, to get
315 = 1 x 315 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 315 is 1
Notice that 1 = HCF(315,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 737 > 1, we apply the division lemma to 737 and 1, to get
737 = 1 x 737 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 737 is 1
Notice that 1 = HCF(737,1) .
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Frequently Asked Questions on HCF of 538, 931, 315, 737 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 538, 931, 315, 737?
Answer: HCF of 538, 931, 315, 737 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 538, 931, 315, 737 using Euclid's Algorithm?
Answer: For arbitrary numbers 538, 931, 315, 737 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.