Highest Common Factor of 7611, 661 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 7611, 661 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7611, 661 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 7611, 661 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 7611, 661 is 1.
HCF(7611, 661) = 1
HCF of 7611, 661 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7611, 661 is 1.
Highest Common Factor of 7611,661 is 1
Step 1: Since 7611 > 661, we apply the division lemma to 7611 and 661, to get
7611 = 661 x 11 + 340
Step 2: Since the reminder 661 ≠ 0, we apply division lemma to 340 and 661, to get
661 = 340 x 1 + 321
Step 3: We consider the new divisor 340 and the new remainder 321, and apply the division lemma to get
340 = 321 x 1 + 19
We consider the new divisor 321 and the new remainder 19,and apply the division lemma to get
321 = 19 x 16 + 17
We consider the new divisor 19 and the new remainder 17,and apply the division lemma to get
19 = 17 x 1 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7611 and 661 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(19,17) = HCF(321,19) = HCF(340,321) = HCF(661,340) = HCF(7611,661) .
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Frequently Asked Questions on HCF of 7611, 661 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 7611, 661?
Answer: HCF of 7611, 661 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7611, 661 using Euclid's Algorithm?
Answer: For arbitrary numbers 7611, 661 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
