Highest Common Factor of 611, 7910 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 611, 7910 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 611, 7910 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 611, 7910 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 611, 7910 is 1.
HCF(611, 7910) = 1
HCF of 611, 7910 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 611, 7910 is 1.
Highest Common Factor of 611,7910 is 1
Step 1: Since 7910 > 611, we apply the division lemma to 7910 and 611, to get
7910 = 611 x 12 + 578
Step 2: Since the reminder 611 ≠ 0, we apply division lemma to 578 and 611, to get
611 = 578 x 1 + 33
Step 3: We consider the new divisor 578 and the new remainder 33, and apply the division lemma to get
578 = 33 x 17 + 17
We consider the new divisor 33 and the new remainder 17,and apply the division lemma to get
33 = 17 x 1 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 611 and 7910 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(33,17) = HCF(578,33) = HCF(611,578) = HCF(7910,611) .
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Frequently Asked Questions on HCF of 611, 7910 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 611, 7910?
Answer: HCF of 611, 7910 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 611, 7910 using Euclid's Algorithm?
Answer: For arbitrary numbers 611, 7910 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.