Highest Common Factor of 717, 915, 151, 987 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 717, 915, 151, 987 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 717, 915, 151, 987 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 717, 915, 151, 987 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 717, 915, 151, 987 is 1.
HCF(717, 915, 151, 987) = 1
HCF of 717, 915, 151, 987 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 717, 915, 151, 987 is 1.
Highest Common Factor of 717,915,151,987 is 1
Step 1: Since 915 > 717, we apply the division lemma to 915 and 717, to get
915 = 717 x 1 + 198
Step 2: Since the reminder 717 ≠ 0, we apply division lemma to 198 and 717, to get
717 = 198 x 3 + 123
Step 3: We consider the new divisor 198 and the new remainder 123, and apply the division lemma to get
198 = 123 x 1 + 75
We consider the new divisor 123 and the new remainder 75,and apply the division lemma to get
123 = 75 x 1 + 48
We consider the new divisor 75 and the new remainder 48,and apply the division lemma to get
75 = 48 x 1 + 27
We consider the new divisor 48 and the new remainder 27,and apply the division lemma to get
48 = 27 x 1 + 21
We consider the new divisor 27 and the new remainder 21,and apply the division lemma to get
27 = 21 x 1 + 6
We consider the new divisor 21 and the new remainder 6,and apply the division lemma to get
21 = 6 x 3 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 717 and 915 is 3
Notice that 3 = HCF(6,3) = HCF(21,6) = HCF(27,21) = HCF(48,27) = HCF(75,48) = HCF(123,75) = HCF(198,123) = HCF(717,198) = HCF(915,717) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 151 > 3, we apply the division lemma to 151 and 3, to get
151 = 3 x 50 + 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 151 is 1
Notice that 1 = HCF(3,1) = HCF(151,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 987 > 1, we apply the division lemma to 987 and 1, to get
987 = 1 x 987 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 987 is 1
Notice that 1 = HCF(987,1) .
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Frequently Asked Questions on HCF of 717, 915, 151, 987 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 717, 915, 151, 987?
Answer: HCF of 717, 915, 151, 987 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 717, 915, 151, 987 using Euclid's Algorithm?
Answer: For arbitrary numbers 717, 915, 151, 987 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.