Highest Common Factor of 9652, 3690 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 9652, 3690 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9652, 3690 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 9652, 3690 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 9652, 3690 is 2.
HCF(9652, 3690) = 2
HCF of 9652, 3690 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9652, 3690 is 2.
Highest Common Factor of 9652,3690 is 2
Step 1: Since 9652 > 3690, we apply the division lemma to 9652 and 3690, to get
9652 = 3690 x 2 + 2272
Step 2: Since the reminder 3690 ≠ 0, we apply division lemma to 2272 and 3690, to get
3690 = 2272 x 1 + 1418
Step 3: We consider the new divisor 2272 and the new remainder 1418, and apply the division lemma to get
2272 = 1418 x 1 + 854
We consider the new divisor 1418 and the new remainder 854,and apply the division lemma to get
1418 = 854 x 1 + 564
We consider the new divisor 854 and the new remainder 564,and apply the division lemma to get
854 = 564 x 1 + 290
We consider the new divisor 564 and the new remainder 290,and apply the division lemma to get
564 = 290 x 1 + 274
We consider the new divisor 290 and the new remainder 274,and apply the division lemma to get
290 = 274 x 1 + 16
We consider the new divisor 274 and the new remainder 16,and apply the division lemma to get
274 = 16 x 17 + 2
We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9652 and 3690 is 2
Notice that 2 = HCF(16,2) = HCF(274,16) = HCF(290,274) = HCF(564,290) = HCF(854,564) = HCF(1418,854) = HCF(2272,1418) = HCF(3690,2272) = HCF(9652,3690) .
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Frequently Asked Questions on HCF of 9652, 3690 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 9652, 3690?
Answer: HCF of 9652, 3690 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9652, 3690 using Euclid's Algorithm?
Answer: For arbitrary numbers 9652, 3690 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.