Highest Common Factor of 6641, 1354 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, 1354 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6641, 1354 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, 1354 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, 1354 is 1.
HCF(6641, 1354) = 1
HCF of 6641, 1354 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, 1354 is 1.
Highest Common Factor of 6641,1354 is 1
Step 1: Since 6641 > 1354, we apply the division lemma to 6641 and 1354, to get
6641 = 1354 x 4 + 1225
Step 2: Since the reminder 1354 ≠ 0, we apply division lemma to 1225 and 1354, to get
1354 = 1225 x 1 + 129
Step 3: We consider the new divisor 1225 and the new remainder 129, and apply the division lemma to get
1225 = 129 x 9 + 64
We consider the new divisor 129 and the new remainder 64,and apply the division lemma to get
129 = 64 x 2 + 1
We consider the new divisor 64 and the new remainder 1,and apply the division lemma to get
64 = 1 x 64 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6641 and 1354 is 1
Notice that 1 = HCF(64,1) = HCF(129,64) = HCF(1225,129) = HCF(1354,1225) = HCF(6641,1354) .
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Frequently Asked Questions on HCF of 6641, 1354 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, 1354?
Answer: HCF of 6641, 1354 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6641, 1354 using Euclid's Algorithm?
Answer: For arbitrary numbers 6641, 1354 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.