Highest Common Factor of 781, 2869 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 781, 2869 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 781, 2869 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 781, 2869 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 781, 2869 is 1.
HCF(781, 2869) = 1
HCF of 781, 2869 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 781, 2869 is 1.
Highest Common Factor of 781,2869 is 1
Step 1: Since 2869 > 781, we apply the division lemma to 2869 and 781, to get
2869 = 781 x 3 + 526
Step 2: Since the reminder 781 ≠ 0, we apply division lemma to 526 and 781, to get
781 = 526 x 1 + 255
Step 3: We consider the new divisor 526 and the new remainder 255, and apply the division lemma to get
526 = 255 x 2 + 16
We consider the new divisor 255 and the new remainder 16,and apply the division lemma to get
255 = 16 x 15 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 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 781 and 2869 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(255,16) = HCF(526,255) = HCF(781,526) = HCF(2869,781) .
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Frequently Asked Questions on HCF of 781, 2869 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 781, 2869?
Answer: HCF of 781, 2869 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 781, 2869 using Euclid's Algorithm?
Answer: For arbitrary numbers 781, 2869 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.