Highest Common Factor of 9056, 3143 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 9056, 3143 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9056, 3143 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 9056, 3143 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 9056, 3143 is 1.
HCF(9056, 3143) = 1
HCF of 9056, 3143 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9056, 3143 is 1.
Highest Common Factor of 9056,3143 is 1
Step 1: Since 9056 > 3143, we apply the division lemma to 9056 and 3143, to get
9056 = 3143 x 2 + 2770
Step 2: Since the reminder 3143 ≠ 0, we apply division lemma to 2770 and 3143, to get
3143 = 2770 x 1 + 373
Step 3: We consider the new divisor 2770 and the new remainder 373, and apply the division lemma to get
2770 = 373 x 7 + 159
We consider the new divisor 373 and the new remainder 159,and apply the division lemma to get
373 = 159 x 2 + 55
We consider the new divisor 159 and the new remainder 55,and apply the division lemma to get
159 = 55 x 2 + 49
We consider the new divisor 55 and the new remainder 49,and apply the division lemma to get
55 = 49 x 1 + 6
We consider the new divisor 49 and the new remainder 6,and apply the division lemma to get
49 = 6 x 8 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9056 and 3143 is 1
Notice that 1 = HCF(6,1) = HCF(49,6) = HCF(55,49) = HCF(159,55) = HCF(373,159) = HCF(2770,373) = HCF(3143,2770) = HCF(9056,3143) .
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Frequently Asked Questions on HCF of 9056, 3143 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 9056, 3143?
Answer: HCF of 9056, 3143 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9056, 3143 using Euclid's Algorithm?
Answer: For arbitrary numbers 9056, 3143 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.