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 3677, 1481 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3677, 1481 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 3677, 1481 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 3677, 1481 is 1.
HCF(3677, 1481) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3677, 1481 is 1.
Step 1: Since 3677 > 1481, we apply the division lemma to 3677 and 1481, to get
3677 = 1481 x 2 + 715
Step 2: Since the reminder 1481 ≠ 0, we apply division lemma to 715 and 1481, to get
1481 = 715 x 2 + 51
Step 3: We consider the new divisor 715 and the new remainder 51, and apply the division lemma to get
715 = 51 x 14 + 1
We consider the new divisor 51 and the new remainder 1, and apply the division lemma to get
51 = 1 x 51 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3677 and 1481 is 1
Notice that 1 = HCF(51,1) = HCF(715,51) = HCF(1481,715) = HCF(3677,1481) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 3677, 1481?
Answer: HCF of 3677, 1481 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3677, 1481 using Euclid's Algorithm?
Answer: For arbitrary numbers 3677, 1481 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.