Highest Common Factor of 4077, 6234 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 4077, 6234 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4077, 6234 is 3 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 4077, 6234 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 4077, 6234 is 3.
HCF(4077, 6234) = 3
HCF of 4077, 6234 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4077, 6234 is 3.
Highest Common Factor of 4077,6234 is 3
Step 1: Since 6234 > 4077, we apply the division lemma to 6234 and 4077, to get
6234 = 4077 x 1 + 2157
Step 2: Since the reminder 4077 ≠ 0, we apply division lemma to 2157 and 4077, to get
4077 = 2157 x 1 + 1920
Step 3: We consider the new divisor 2157 and the new remainder 1920, and apply the division lemma to get
2157 = 1920 x 1 + 237
We consider the new divisor 1920 and the new remainder 237,and apply the division lemma to get
1920 = 237 x 8 + 24
We consider the new divisor 237 and the new remainder 24,and apply the division lemma to get
237 = 24 x 9 + 21
We consider the new divisor 24 and the new remainder 21,and apply the division lemma to get
24 = 21 x 1 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4077 and 6234 is 3
Notice that 3 = HCF(21,3) = HCF(24,21) = HCF(237,24) = HCF(1920,237) = HCF(2157,1920) = HCF(4077,2157) = HCF(6234,4077) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4077, 6234 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 4077, 6234?
Answer: HCF of 4077, 6234 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4077, 6234 using Euclid's Algorithm?
Answer: For arbitrary numbers 4077, 6234 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.