Highest Common Factor of 610, 369 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 610, 369 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 610, 369 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 610, 369 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 610, 369 is 1.
HCF(610, 369) = 1
HCF of 610, 369 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 610, 369 is 1.
Highest Common Factor of 610,369 is 1
Step 1: Since 610 > 369, we apply the division lemma to 610 and 369, to get
610 = 369 x 1 + 241
Step 2: Since the reminder 369 ≠ 0, we apply division lemma to 241 and 369, to get
369 = 241 x 1 + 128
Step 3: We consider the new divisor 241 and the new remainder 128, and apply the division lemma to get
241 = 128 x 1 + 113
We consider the new divisor 128 and the new remainder 113,and apply the division lemma to get
128 = 113 x 1 + 15
We consider the new divisor 113 and the new remainder 15,and apply the division lemma to get
113 = 15 x 7 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 610 and 369 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(113,15) = HCF(128,113) = HCF(241,128) = HCF(369,241) = HCF(610,369) .
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Frequently Asked Questions on HCF of 610, 369 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 610, 369?
Answer: HCF of 610, 369 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 610, 369 using Euclid's Algorithm?
Answer: For arbitrary numbers 610, 369 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.