Highest Common Factor of 780, 84724 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 780, 84724 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 780, 84724 is 4 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 780, 84724 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 780, 84724 is 4.
HCF(780, 84724) = 4
HCF of 780, 84724 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 780, 84724 is 4.
Highest Common Factor of 780,84724 is 4
Step 1: Since 84724 > 780, we apply the division lemma to 84724 and 780, to get
84724 = 780 x 108 + 484
Step 2: Since the reminder 780 ≠ 0, we apply division lemma to 484 and 780, to get
780 = 484 x 1 + 296
Step 3: We consider the new divisor 484 and the new remainder 296, and apply the division lemma to get
484 = 296 x 1 + 188
We consider the new divisor 296 and the new remainder 188,and apply the division lemma to get
296 = 188 x 1 + 108
We consider the new divisor 188 and the new remainder 108,and apply the division lemma to get
188 = 108 x 1 + 80
We consider the new divisor 108 and the new remainder 80,and apply the division lemma to get
108 = 80 x 1 + 28
We consider the new divisor 80 and the new remainder 28,and apply the division lemma to get
80 = 28 x 2 + 24
We consider the new divisor 28 and the new remainder 24,and apply the division lemma to get
28 = 24 x 1 + 4
We consider the new divisor 24 and the new remainder 4,and apply the division lemma to get
24 = 4 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 780 and 84724 is 4
Notice that 4 = HCF(24,4) = HCF(28,24) = HCF(80,28) = HCF(108,80) = HCF(188,108) = HCF(296,188) = HCF(484,296) = HCF(780,484) = HCF(84724,780) .
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Frequently Asked Questions on HCF of 780, 84724 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 780, 84724?
Answer: HCF of 780, 84724 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 780, 84724 using Euclid's Algorithm?
Answer: For arbitrary numbers 780, 84724 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
