Highest Common Factor of 4399, 5486 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 4399, 5486 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4399, 5486 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 4399, 5486 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 4399, 5486 is 1.
HCF(4399, 5486) = 1
HCF of 4399, 5486 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4399, 5486 is 1.
Highest Common Factor of 4399,5486 is 1
Step 1: Since 5486 > 4399, we apply the division lemma to 5486 and 4399, to get
5486 = 4399 x 1 + 1087
Step 2: Since the reminder 4399 ≠ 0, we apply division lemma to 1087 and 4399, to get
4399 = 1087 x 4 + 51
Step 3: We consider the new divisor 1087 and the new remainder 51, and apply the division lemma to get
1087 = 51 x 21 + 16
We consider the new divisor 51 and the new remainder 16,and apply the division lemma to get
51 = 16 x 3 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4399 and 5486 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(51,16) = HCF(1087,51) = HCF(4399,1087) = HCF(5486,4399) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4399, 5486 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 4399, 5486?
Answer: HCF of 4399, 5486 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4399, 5486 using Euclid's Algorithm?
Answer: For arbitrary numbers 4399, 5486 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.