Highest Common Factor of 8783, 4774 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 8783, 4774 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8783, 4774 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 8783, 4774 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 8783, 4774 is 1.
HCF(8783, 4774) = 1
HCF of 8783, 4774 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8783, 4774 is 1.
Highest Common Factor of 8783,4774 is 1
Step 1: Since 8783 > 4774, we apply the division lemma to 8783 and 4774, to get
8783 = 4774 x 1 + 4009
Step 2: Since the reminder 4774 ≠ 0, we apply division lemma to 4009 and 4774, to get
4774 = 4009 x 1 + 765
Step 3: We consider the new divisor 4009 and the new remainder 765, and apply the division lemma to get
4009 = 765 x 5 + 184
We consider the new divisor 765 and the new remainder 184,and apply the division lemma to get
765 = 184 x 4 + 29
We consider the new divisor 184 and the new remainder 29,and apply the division lemma to get
184 = 29 x 6 + 10
We consider the new divisor 29 and the new remainder 10,and apply the division lemma to get
29 = 10 x 2 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8783 and 4774 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(29,10) = HCF(184,29) = HCF(765,184) = HCF(4009,765) = HCF(4774,4009) = HCF(8783,4774) .
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Frequently Asked Questions on HCF of 8783, 4774 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 8783, 4774?
Answer: HCF of 8783, 4774 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8783, 4774 using Euclid's Algorithm?
Answer: For arbitrary numbers 8783, 4774 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.