Highest Common Factor of 537, 338, 988 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 537, 338, 988 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 537, 338, 988 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 537, 338, 988 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 537, 338, 988 is 1.
HCF(537, 338, 988) = 1
HCF of 537, 338, 988 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 537, 338, 988 is 1.
Highest Common Factor of 537,338,988 is 1
Step 1: Since 537 > 338, we apply the division lemma to 537 and 338, to get
537 = 338 x 1 + 199
Step 2: Since the reminder 338 ≠ 0, we apply division lemma to 199 and 338, to get
338 = 199 x 1 + 139
Step 3: We consider the new divisor 199 and the new remainder 139, and apply the division lemma to get
199 = 139 x 1 + 60
We consider the new divisor 139 and the new remainder 60,and apply the division lemma to get
139 = 60 x 2 + 19
We consider the new divisor 60 and the new remainder 19,and apply the division lemma to get
60 = 19 x 3 + 3
We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get
19 = 3 x 6 + 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 537 and 338 is 1
Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(60,19) = HCF(139,60) = HCF(199,139) = HCF(338,199) = HCF(537,338) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 988 > 1, we apply the division lemma to 988 and 1, to get
988 = 1 x 988 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 988 is 1
Notice that 1 = HCF(988,1) .
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Frequently Asked Questions on HCF of 537, 338, 988 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 537, 338, 988?
Answer: HCF of 537, 338, 988 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 537, 338, 988 using Euclid's Algorithm?
Answer: For arbitrary numbers 537, 338, 988 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.