Highest Common Factor of 2632, 9370 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 2632, 9370 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2632, 9370 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 2632, 9370 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 2632, 9370 is 2.
HCF(2632, 9370) = 2
HCF of 2632, 9370 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2632, 9370 is 2.
Highest Common Factor of 2632,9370 is 2
Step 1: Since 9370 > 2632, we apply the division lemma to 9370 and 2632, to get
9370 = 2632 x 3 + 1474
Step 2: Since the reminder 2632 ≠ 0, we apply division lemma to 1474 and 2632, to get
2632 = 1474 x 1 + 1158
Step 3: We consider the new divisor 1474 and the new remainder 1158, and apply the division lemma to get
1474 = 1158 x 1 + 316
We consider the new divisor 1158 and the new remainder 316,and apply the division lemma to get
1158 = 316 x 3 + 210
We consider the new divisor 316 and the new remainder 210,and apply the division lemma to get
316 = 210 x 1 + 106
We consider the new divisor 210 and the new remainder 106,and apply the division lemma to get
210 = 106 x 1 + 104
We consider the new divisor 106 and the new remainder 104,and apply the division lemma to get
106 = 104 x 1 + 2
We consider the new divisor 104 and the new remainder 2,and apply the division lemma to get
104 = 2 x 52 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2632 and 9370 is 2
Notice that 2 = HCF(104,2) = HCF(106,104) = HCF(210,106) = HCF(316,210) = HCF(1158,316) = HCF(1474,1158) = HCF(2632,1474) = HCF(9370,2632) .
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Frequently Asked Questions on HCF of 2632, 9370 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 2632, 9370?
Answer: HCF of 2632, 9370 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2632, 9370 using Euclid's Algorithm?
Answer: For arbitrary numbers 2632, 9370 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.