Highest Common Factor of 1429, 2782 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 1429, 2782 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1429, 2782 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 1429, 2782 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 1429, 2782 is 1.
HCF(1429, 2782) = 1
HCF of 1429, 2782 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1429, 2782 is 1.
Highest Common Factor of 1429,2782 is 1
Step 1: Since 2782 > 1429, we apply the division lemma to 2782 and 1429, to get
2782 = 1429 x 1 + 1353
Step 2: Since the reminder 1429 ≠ 0, we apply division lemma to 1353 and 1429, to get
1429 = 1353 x 1 + 76
Step 3: We consider the new divisor 1353 and the new remainder 76, and apply the division lemma to get
1353 = 76 x 17 + 61
We consider the new divisor 76 and the new remainder 61,and apply the division lemma to get
76 = 61 x 1 + 15
We consider the new divisor 61 and the new remainder 15,and apply the division lemma to get
61 = 15 x 4 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1429 and 2782 is 1
Notice that 1 = HCF(15,1) = HCF(61,15) = HCF(76,61) = HCF(1353,76) = HCF(1429,1353) = HCF(2782,1429) .
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Frequently Asked Questions on HCF of 1429, 2782 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 1429, 2782?
Answer: HCF of 1429, 2782 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1429, 2782 using Euclid's Algorithm?
Answer: For arbitrary numbers 1429, 2782 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.