Highest Common Factor of 6800, 9545 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 6800, 9545 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 6800, 9545 is 5 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 6800, 9545 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 6800, 9545 is 5.
HCF(6800, 9545) = 5
HCF of 6800, 9545 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6800, 9545 is 5.
Highest Common Factor of 6800,9545 is 5
Step 1: Since 9545 > 6800, we apply the division lemma to 9545 and 6800, to get
9545 = 6800 x 1 + 2745
Step 2: Since the reminder 6800 ≠ 0, we apply division lemma to 2745 and 6800, to get
6800 = 2745 x 2 + 1310
Step 3: We consider the new divisor 2745 and the new remainder 1310, and apply the division lemma to get
2745 = 1310 x 2 + 125
We consider the new divisor 1310 and the new remainder 125,and apply the division lemma to get
1310 = 125 x 10 + 60
We consider the new divisor 125 and the new remainder 60,and apply the division lemma to get
125 = 60 x 2 + 5
We consider the new divisor 60 and the new remainder 5,and apply the division lemma to get
60 = 5 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 6800 and 9545 is 5
Notice that 5 = HCF(60,5) = HCF(125,60) = HCF(1310,125) = HCF(2745,1310) = HCF(6800,2745) = HCF(9545,6800) .
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Frequently Asked Questions on HCF of 6800, 9545 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 6800, 9545?
Answer: HCF of 6800, 9545 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6800, 9545 using Euclid's Algorithm?
Answer: For arbitrary numbers 6800, 9545 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.