Highest Common Factor of 930, 8160, 5597 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 930, 8160, 5597 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 930, 8160, 5597 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 930, 8160, 5597 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 930, 8160, 5597 is 1.
HCF(930, 8160, 5597) = 1
HCF of 930, 8160, 5597 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 930, 8160, 5597 is 1.
Highest Common Factor of 930,8160,5597 is 1
Step 1: Since 8160 > 930, we apply the division lemma to 8160 and 930, to get
8160 = 930 x 8 + 720
Step 2: Since the reminder 930 ≠ 0, we apply division lemma to 720 and 930, to get
930 = 720 x 1 + 210
Step 3: We consider the new divisor 720 and the new remainder 210, and apply the division lemma to get
720 = 210 x 3 + 90
We consider the new divisor 210 and the new remainder 90,and apply the division lemma to get
210 = 90 x 2 + 30
We consider the new divisor 90 and the new remainder 30,and apply the division lemma to get
90 = 30 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 30, the HCF of 930 and 8160 is 30
Notice that 30 = HCF(90,30) = HCF(210,90) = HCF(720,210) = HCF(930,720) = HCF(8160,930) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5597 > 30, we apply the division lemma to 5597 and 30, to get
5597 = 30 x 186 + 17
Step 2: Since the reminder 30 ≠ 0, we apply division lemma to 17 and 30, to get
30 = 17 x 1 + 13
Step 3: We consider the new divisor 17 and the new remainder 13, and apply the division lemma to get
17 = 13 x 1 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 30 and 5597 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(30,17) = HCF(5597,30) .
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Frequently Asked Questions on HCF of 930, 8160, 5597 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 930, 8160, 5597?
Answer: HCF of 930, 8160, 5597 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 930, 8160, 5597 using Euclid's Algorithm?
Answer: For arbitrary numbers 930, 8160, 5597 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
