Highest Common Factor of 6641, 5661 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 6641, 5661 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6641, 5661 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 6641, 5661 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 6641, 5661 is 1.
HCF(6641, 5661) = 1
HCF of 6641, 5661 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6641, 5661 is 1.
Highest Common Factor of 6641,5661 is 1
Step 1: Since 6641 > 5661, we apply the division lemma to 6641 and 5661, to get
6641 = 5661 x 1 + 980
Step 2: Since the reminder 5661 ≠ 0, we apply division lemma to 980 and 5661, to get
5661 = 980 x 5 + 761
Step 3: We consider the new divisor 980 and the new remainder 761, and apply the division lemma to get
980 = 761 x 1 + 219
We consider the new divisor 761 and the new remainder 219,and apply the division lemma to get
761 = 219 x 3 + 104
We consider the new divisor 219 and the new remainder 104,and apply the division lemma to get
219 = 104 x 2 + 11
We consider the new divisor 104 and the new remainder 11,and apply the division lemma to get
104 = 11 x 9 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6641 and 5661 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(104,11) = HCF(219,104) = HCF(761,219) = HCF(980,761) = HCF(5661,980) = HCF(6641,5661) .
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Frequently Asked Questions on HCF of 6641, 5661 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 6641, 5661?
Answer: HCF of 6641, 5661 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6641, 5661 using Euclid's Algorithm?
Answer: For arbitrary numbers 6641, 5661 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.