Highest Common Factor of 9784, 7588 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 9784, 7588 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 9784, 7588 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 9784, 7588 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 9784, 7588 is 4.
HCF(9784, 7588) = 4
HCF of 9784, 7588 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9784, 7588 is 4.
Highest Common Factor of 9784,7588 is 4
Step 1: Since 9784 > 7588, we apply the division lemma to 9784 and 7588, to get
9784 = 7588 x 1 + 2196
Step 2: Since the reminder 7588 ≠ 0, we apply division lemma to 2196 and 7588, to get
7588 = 2196 x 3 + 1000
Step 3: We consider the new divisor 2196 and the new remainder 1000, and apply the division lemma to get
2196 = 1000 x 2 + 196
We consider the new divisor 1000 and the new remainder 196,and apply the division lemma to get
1000 = 196 x 5 + 20
We consider the new divisor 196 and the new remainder 20,and apply the division lemma to get
196 = 20 x 9 + 16
We consider the new divisor 20 and the new remainder 16,and apply the division lemma to get
20 = 16 x 1 + 4
We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get
16 = 4 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 9784 and 7588 is 4
Notice that 4 = HCF(16,4) = HCF(20,16) = HCF(196,20) = HCF(1000,196) = HCF(2196,1000) = HCF(7588,2196) = HCF(9784,7588) .
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Frequently Asked Questions on HCF of 9784, 7588 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 9784, 7588?
Answer: HCF of 9784, 7588 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9784, 7588 using Euclid's Algorithm?
Answer: For arbitrary numbers 9784, 7588 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.