Highest Common Factor of 9559, 1140 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 9559, 1140 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9559, 1140 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 9559, 1140 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 9559, 1140 is 1.
HCF(9559, 1140) = 1
HCF of 9559, 1140 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9559, 1140 is 1.
Highest Common Factor of 9559,1140 is 1
Step 1: Since 9559 > 1140, we apply the division lemma to 9559 and 1140, to get
9559 = 1140 x 8 + 439
Step 2: Since the reminder 1140 ≠ 0, we apply division lemma to 439 and 1140, to get
1140 = 439 x 2 + 262
Step 3: We consider the new divisor 439 and the new remainder 262, and apply the division lemma to get
439 = 262 x 1 + 177
We consider the new divisor 262 and the new remainder 177,and apply the division lemma to get
262 = 177 x 1 + 85
We consider the new divisor 177 and the new remainder 85,and apply the division lemma to get
177 = 85 x 2 + 7
We consider the new divisor 85 and the new remainder 7,and apply the division lemma to get
85 = 7 x 12 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9559 and 1140 is 1
Notice that 1 = HCF(7,1) = HCF(85,7) = HCF(177,85) = HCF(262,177) = HCF(439,262) = HCF(1140,439) = HCF(9559,1140) .
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Frequently Asked Questions on HCF of 9559, 1140 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 9559, 1140?
Answer: HCF of 9559, 1140 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9559, 1140 using Euclid's Algorithm?
Answer: For arbitrary numbers 9559, 1140 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
