Highest Common Factor of 9556, 7084 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 9556, 7084 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 9556, 7084 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 9556, 7084 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 9556, 7084 is 4.
HCF(9556, 7084) = 4
HCF of 9556, 7084 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9556, 7084 is 4.
Highest Common Factor of 9556,7084 is 4
Step 1: Since 9556 > 7084, we apply the division lemma to 9556 and 7084, to get
9556 = 7084 x 1 + 2472
Step 2: Since the reminder 7084 ≠ 0, we apply division lemma to 2472 and 7084, to get
7084 = 2472 x 2 + 2140
Step 3: We consider the new divisor 2472 and the new remainder 2140, and apply the division lemma to get
2472 = 2140 x 1 + 332
We consider the new divisor 2140 and the new remainder 332,and apply the division lemma to get
2140 = 332 x 6 + 148
We consider the new divisor 332 and the new remainder 148,and apply the division lemma to get
332 = 148 x 2 + 36
We consider the new divisor 148 and the new remainder 36,and apply the division lemma to get
148 = 36 x 4 + 4
We consider the new divisor 36 and the new remainder 4,and apply the division lemma to get
36 = 4 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 9556 and 7084 is 4
Notice that 4 = HCF(36,4) = HCF(148,36) = HCF(332,148) = HCF(2140,332) = HCF(2472,2140) = HCF(7084,2472) = HCF(9556,7084) .
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Frequently Asked Questions on HCF of 9556, 7084 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 9556, 7084?
Answer: HCF of 9556, 7084 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9556, 7084 using Euclid's Algorithm?
Answer: For arbitrary numbers 9556, 7084 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.