Highest Common Factor of 3540, 9238 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 3540, 9238 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3540, 9238 is 2 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 3540, 9238 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 3540, 9238 is 2.
HCF(3540, 9238) = 2
HCF of 3540, 9238 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3540, 9238 is 2.
Highest Common Factor of 3540,9238 is 2
Step 1: Since 9238 > 3540, we apply the division lemma to 9238 and 3540, to get
9238 = 3540 x 2 + 2158
Step 2: Since the reminder 3540 ≠ 0, we apply division lemma to 2158 and 3540, to get
3540 = 2158 x 1 + 1382
Step 3: We consider the new divisor 2158 and the new remainder 1382, and apply the division lemma to get
2158 = 1382 x 1 + 776
We consider the new divisor 1382 and the new remainder 776,and apply the division lemma to get
1382 = 776 x 1 + 606
We consider the new divisor 776 and the new remainder 606,and apply the division lemma to get
776 = 606 x 1 + 170
We consider the new divisor 606 and the new remainder 170,and apply the division lemma to get
606 = 170 x 3 + 96
We consider the new divisor 170 and the new remainder 96,and apply the division lemma to get
170 = 96 x 1 + 74
We consider the new divisor 96 and the new remainder 74,and apply the division lemma to get
96 = 74 x 1 + 22
We consider the new divisor 74 and the new remainder 22,and apply the division lemma to get
74 = 22 x 3 + 8
We consider the new divisor 22 and the new remainder 8,and apply the division lemma to get
22 = 8 x 2 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3540 and 9238 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(22,8) = HCF(74,22) = HCF(96,74) = HCF(170,96) = HCF(606,170) = HCF(776,606) = HCF(1382,776) = HCF(2158,1382) = HCF(3540,2158) = HCF(9238,3540) .
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Frequently Asked Questions on HCF of 3540, 9238 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 3540, 9238?
Answer: HCF of 3540, 9238 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3540, 9238 using Euclid's Algorithm?
Answer: For arbitrary numbers 3540, 9238 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
