Highest Common Factor of 781, 5120 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, 5120 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 781, 5120 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, 5120 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, 5120 is 1.
HCF(781, 5120) = 1
HCF of 781, 5120 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, 5120 is 1.
Highest Common Factor of 781,5120 is 1
Step 1: Since 5120 > 781, we apply the division lemma to 5120 and 781, to get
5120 = 781 x 6 + 434
Step 2: Since the reminder 781 ≠ 0, we apply division lemma to 434 and 781, to get
781 = 434 x 1 + 347
Step 3: We consider the new divisor 434 and the new remainder 347, and apply the division lemma to get
434 = 347 x 1 + 87
We consider the new divisor 347 and the new remainder 87,and apply the division lemma to get
347 = 87 x 3 + 86
We consider the new divisor 87 and the new remainder 86,and apply the division lemma to get
87 = 86 x 1 + 1
We consider the new divisor 86 and the new remainder 1,and apply the division lemma to get
86 = 1 x 86 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 781 and 5120 is 1
Notice that 1 = HCF(86,1) = HCF(87,86) = HCF(347,87) = HCF(434,347) = HCF(781,434) = HCF(5120,781) .
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Frequently Asked Questions on HCF of 781, 5120 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, 5120?
Answer: HCF of 781, 5120 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 781, 5120 using Euclid's Algorithm?
Answer: For arbitrary numbers 781, 5120 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.