Highest Common Factor of 4356, 6805 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 4356, 6805 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4356, 6805 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 4356, 6805 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 4356, 6805 is 1.
HCF(4356, 6805) = 1
HCF of 4356, 6805 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4356, 6805 is 1.
Highest Common Factor of 4356,6805 is 1
Step 1: Since 6805 > 4356, we apply the division lemma to 6805 and 4356, to get
6805 = 4356 x 1 + 2449
Step 2: Since the reminder 4356 ≠ 0, we apply division lemma to 2449 and 4356, to get
4356 = 2449 x 1 + 1907
Step 3: We consider the new divisor 2449 and the new remainder 1907, and apply the division lemma to get
2449 = 1907 x 1 + 542
We consider the new divisor 1907 and the new remainder 542,and apply the division lemma to get
1907 = 542 x 3 + 281
We consider the new divisor 542 and the new remainder 281,and apply the division lemma to get
542 = 281 x 1 + 261
We consider the new divisor 281 and the new remainder 261,and apply the division lemma to get
281 = 261 x 1 + 20
We consider the new divisor 261 and the new remainder 20,and apply the division lemma to get
261 = 20 x 13 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4356 and 6805 is 1
Notice that 1 = HCF(20,1) = HCF(261,20) = HCF(281,261) = HCF(542,281) = HCF(1907,542) = HCF(2449,1907) = HCF(4356,2449) = HCF(6805,4356) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4356, 6805 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 4356, 6805?
Answer: HCF of 4356, 6805 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4356, 6805 using Euclid's Algorithm?
Answer: For arbitrary numbers 4356, 6805 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.