Highest Common Factor of 6814, 4884 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 6814, 4884 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6814, 4884 is 2 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 6814, 4884 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 6814, 4884 is 2.
HCF(6814, 4884) = 2
HCF of 6814, 4884 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6814, 4884 is 2.
Highest Common Factor of 6814,4884 is 2
Step 1: Since 6814 > 4884, we apply the division lemma to 6814 and 4884, to get
6814 = 4884 x 1 + 1930
Step 2: Since the reminder 4884 ≠ 0, we apply division lemma to 1930 and 4884, to get
4884 = 1930 x 2 + 1024
Step 3: We consider the new divisor 1930 and the new remainder 1024, and apply the division lemma to get
1930 = 1024 x 1 + 906
We consider the new divisor 1024 and the new remainder 906,and apply the division lemma to get
1024 = 906 x 1 + 118
We consider the new divisor 906 and the new remainder 118,and apply the division lemma to get
906 = 118 x 7 + 80
We consider the new divisor 118 and the new remainder 80,and apply the division lemma to get
118 = 80 x 1 + 38
We consider the new divisor 80 and the new remainder 38,and apply the division lemma to get
80 = 38 x 2 + 4
We consider the new divisor 38 and the new remainder 4,and apply the division lemma to get
38 = 4 x 9 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6814 and 4884 is 2
Notice that 2 = HCF(4,2) = HCF(38,4) = HCF(80,38) = HCF(118,80) = HCF(906,118) = HCF(1024,906) = HCF(1930,1024) = HCF(4884,1930) = HCF(6814,4884) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6814, 4884 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 6814, 4884?
Answer: HCF of 6814, 4884 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6814, 4884 using Euclid's Algorithm?
Answer: For arbitrary numbers 6814, 4884 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.