Highest Common Factor of 8861, 448 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 8861, 448 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8861, 448 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 8861, 448 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 8861, 448 is 1.
HCF(8861, 448) = 1
HCF of 8861, 448 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8861, 448 is 1.
Highest Common Factor of 8861,448 is 1
Step 1: Since 8861 > 448, we apply the division lemma to 8861 and 448, to get
8861 = 448 x 19 + 349
Step 2: Since the reminder 448 ≠ 0, we apply division lemma to 349 and 448, to get
448 = 349 x 1 + 99
Step 3: We consider the new divisor 349 and the new remainder 99, and apply the division lemma to get
349 = 99 x 3 + 52
We consider the new divisor 99 and the new remainder 52,and apply the division lemma to get
99 = 52 x 1 + 47
We consider the new divisor 52 and the new remainder 47,and apply the division lemma to get
52 = 47 x 1 + 5
We consider the new divisor 47 and the new remainder 5,and apply the division lemma to get
47 = 5 x 9 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8861 and 448 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(47,5) = HCF(52,47) = HCF(99,52) = HCF(349,99) = HCF(448,349) = HCF(8861,448) .
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Frequently Asked Questions on HCF of 8861, 448 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 8861, 448?
Answer: HCF of 8861, 448 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8861, 448 using Euclid's Algorithm?
Answer: For arbitrary numbers 8861, 448 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.