Highest Common Factor of 3762, 4807 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 3762, 4807 i.e. 209 the largest integer that leaves a remainder zero for all numbers.
HCF of 3762, 4807 is 209 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 3762, 4807 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 3762, 4807 is 209.
HCF(3762, 4807) = 209
HCF of 3762, 4807 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3762, 4807 is 209.
Highest Common Factor of 3762,4807 is 209
Step 1: Since 4807 > 3762, we apply the division lemma to 4807 and 3762, to get
4807 = 3762 x 1 + 1045
Step 2: Since the reminder 3762 ≠ 0, we apply division lemma to 1045 and 3762, to get
3762 = 1045 x 3 + 627
Step 3: We consider the new divisor 1045 and the new remainder 627, and apply the division lemma to get
1045 = 627 x 1 + 418
We consider the new divisor 627 and the new remainder 418,and apply the division lemma to get
627 = 418 x 1 + 209
We consider the new divisor 418 and the new remainder 209,and apply the division lemma to get
418 = 209 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 209, the HCF of 3762 and 4807 is 209
Notice that 209 = HCF(418,209) = HCF(627,418) = HCF(1045,627) = HCF(3762,1045) = HCF(4807,3762) .
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Frequently Asked Questions on HCF of 3762, 4807 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 3762, 4807?
Answer: HCF of 3762, 4807 is 209 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3762, 4807 using Euclid's Algorithm?
Answer: For arbitrary numbers 3762, 4807 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.