Highest Common Factor of 2661, 1334, 70651 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 2661, 1334, 70651 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2661, 1334, 70651 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 2661, 1334, 70651 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 2661, 1334, 70651 is 1.
HCF(2661, 1334, 70651) = 1
HCF of 2661, 1334, 70651 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2661, 1334, 70651 is 1.
Highest Common Factor of 2661,1334,70651 is 1
Step 1: Since 2661 > 1334, we apply the division lemma to 2661 and 1334, to get
2661 = 1334 x 1 + 1327
Step 2: Since the reminder 1334 ≠ 0, we apply division lemma to 1327 and 1334, to get
1334 = 1327 x 1 + 7
Step 3: We consider the new divisor 1327 and the new remainder 7, and apply the division lemma to get
1327 = 7 x 189 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2661 and 1334 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(1327,7) = HCF(1334,1327) = HCF(2661,1334) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 70651 > 1, we apply the division lemma to 70651 and 1, to get
70651 = 1 x 70651 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 70651 is 1
Notice that 1 = HCF(70651,1) .
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Frequently Asked Questions on HCF of 2661, 1334, 70651 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 2661, 1334, 70651?
Answer: HCF of 2661, 1334, 70651 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2661, 1334, 70651 using Euclid's Algorithm?
Answer: For arbitrary numbers 2661, 1334, 70651 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.