Highest Common Factor of 4419, 4934 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 4419, 4934 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4419, 4934 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 4419, 4934 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 4419, 4934 is 1.
HCF(4419, 4934) = 1
HCF of 4419, 4934 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4419, 4934 is 1.
Highest Common Factor of 4419,4934 is 1
Step 1: Since 4934 > 4419, we apply the division lemma to 4934 and 4419, to get
4934 = 4419 x 1 + 515
Step 2: Since the reminder 4419 ≠ 0, we apply division lemma to 515 and 4419, to get
4419 = 515 x 8 + 299
Step 3: We consider the new divisor 515 and the new remainder 299, and apply the division lemma to get
515 = 299 x 1 + 216
We consider the new divisor 299 and the new remainder 216,and apply the division lemma to get
299 = 216 x 1 + 83
We consider the new divisor 216 and the new remainder 83,and apply the division lemma to get
216 = 83 x 2 + 50
We consider the new divisor 83 and the new remainder 50,and apply the division lemma to get
83 = 50 x 1 + 33
We consider the new divisor 50 and the new remainder 33,and apply the division lemma to get
50 = 33 x 1 + 17
We consider the new divisor 33 and the new remainder 17,and apply the division lemma to get
33 = 17 x 1 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4419 and 4934 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(33,17) = HCF(50,33) = HCF(83,50) = HCF(216,83) = HCF(299,216) = HCF(515,299) = HCF(4419,515) = HCF(4934,4419) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4419, 4934 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 4419, 4934?
Answer: HCF of 4419, 4934 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4419, 4934 using Euclid's Algorithm?
Answer: For arbitrary numbers 4419, 4934 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.