Highest Common Factor of 2057, 9358 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 2057, 9358 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2057, 9358 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 2057, 9358 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 2057, 9358 is 1.
HCF(2057, 9358) = 1
HCF of 2057, 9358 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2057, 9358 is 1.
Highest Common Factor of 2057,9358 is 1
Step 1: Since 9358 > 2057, we apply the division lemma to 9358 and 2057, to get
9358 = 2057 x 4 + 1130
Step 2: Since the reminder 2057 ≠ 0, we apply division lemma to 1130 and 2057, to get
2057 = 1130 x 1 + 927
Step 3: We consider the new divisor 1130 and the new remainder 927, and apply the division lemma to get
1130 = 927 x 1 + 203
We consider the new divisor 927 and the new remainder 203,and apply the division lemma to get
927 = 203 x 4 + 115
We consider the new divisor 203 and the new remainder 115,and apply the division lemma to get
203 = 115 x 1 + 88
We consider the new divisor 115 and the new remainder 88,and apply the division lemma to get
115 = 88 x 1 + 27
We consider the new divisor 88 and the new remainder 27,and apply the division lemma to get
88 = 27 x 3 + 7
We consider the new divisor 27 and the new remainder 7,and apply the division lemma to get
27 = 7 x 3 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 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 2057 and 9358 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(27,7) = HCF(88,27) = HCF(115,88) = HCF(203,115) = HCF(927,203) = HCF(1130,927) = HCF(2057,1130) = HCF(9358,2057) .
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Frequently Asked Questions on HCF of 2057, 9358 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 2057, 9358?
Answer: HCF of 2057, 9358 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2057, 9358 using Euclid's Algorithm?
Answer: For arbitrary numbers 2057, 9358 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
