Highest Common Factor of 315, 554, 917 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 315, 554, 917 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 315, 554, 917 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 315, 554, 917 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 315, 554, 917 is 1.
HCF(315, 554, 917) = 1
HCF of 315, 554, 917 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 315, 554, 917 is 1.
Highest Common Factor of 315,554,917 is 1
Step 1: Since 554 > 315, we apply the division lemma to 554 and 315, to get
554 = 315 x 1 + 239
Step 2: Since the reminder 315 ≠ 0, we apply division lemma to 239 and 315, to get
315 = 239 x 1 + 76
Step 3: We consider the new divisor 239 and the new remainder 76, and apply the division lemma to get
239 = 76 x 3 + 11
We consider the new divisor 76 and the new remainder 11,and apply the division lemma to get
76 = 11 x 6 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 315 and 554 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(76,11) = HCF(239,76) = HCF(315,239) = HCF(554,315) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 917 > 1, we apply the division lemma to 917 and 1, to get
917 = 1 x 917 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 917 is 1
Notice that 1 = HCF(917,1) .
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Frequently Asked Questions on HCF of 315, 554, 917 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 315, 554, 917?
Answer: HCF of 315, 554, 917 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 315, 554, 917 using Euclid's Algorithm?
Answer: For arbitrary numbers 315, 554, 917 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.