Highest Common Factor of 1048, 3861 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 1048, 3861 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1048, 3861 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 1048, 3861 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 1048, 3861 is 1.
HCF(1048, 3861) = 1
HCF of 1048, 3861 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1048, 3861 is 1.
Highest Common Factor of 1048,3861 is 1
Step 1: Since 3861 > 1048, we apply the division lemma to 3861 and 1048, to get
3861 = 1048 x 3 + 717
Step 2: Since the reminder 1048 ≠ 0, we apply division lemma to 717 and 1048, to get
1048 = 717 x 1 + 331
Step 3: We consider the new divisor 717 and the new remainder 331, and apply the division lemma to get
717 = 331 x 2 + 55
We consider the new divisor 331 and the new remainder 55,and apply the division lemma to get
331 = 55 x 6 + 1
We consider the new divisor 55 and the new remainder 1,and apply the division lemma to get
55 = 1 x 55 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1048 and 3861 is 1
Notice that 1 = HCF(55,1) = HCF(331,55) = HCF(717,331) = HCF(1048,717) = HCF(3861,1048) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1048, 3861 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 1048, 3861?
Answer: HCF of 1048, 3861 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1048, 3861 using Euclid's Algorithm?
Answer: For arbitrary numbers 1048, 3861 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.