Highest Common Factor of 612, 403, 910 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 612, 403, 910 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 612, 403, 910 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 612, 403, 910 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 612, 403, 910 is 1.
HCF(612, 403, 910) = 1
HCF of 612, 403, 910 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 612, 403, 910 is 1.
Highest Common Factor of 612,403,910 is 1
Step 1: Since 612 > 403, we apply the division lemma to 612 and 403, to get
612 = 403 x 1 + 209
Step 2: Since the reminder 403 ≠ 0, we apply division lemma to 209 and 403, to get
403 = 209 x 1 + 194
Step 3: We consider the new divisor 209 and the new remainder 194, and apply the division lemma to get
209 = 194 x 1 + 15
We consider the new divisor 194 and the new remainder 15,and apply the division lemma to get
194 = 15 x 12 + 14
We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get
15 = 14 x 1 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 612 and 403 is 1
Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(194,15) = HCF(209,194) = HCF(403,209) = HCF(612,403) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 910 > 1, we apply the division lemma to 910 and 1, to get
910 = 1 x 910 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 910 is 1
Notice that 1 = HCF(910,1) .
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Frequently Asked Questions on HCF of 612, 403, 910 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 612, 403, 910?
Answer: HCF of 612, 403, 910 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 612, 403, 910 using Euclid's Algorithm?
Answer: For arbitrary numbers 612, 403, 910 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
