Highest Common Factor of 6100, 8373 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 6100, 8373 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6100, 8373 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 6100, 8373 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 6100, 8373 is 1.
HCF(6100, 8373) = 1
HCF of 6100, 8373 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6100, 8373 is 1.
Highest Common Factor of 6100,8373 is 1
Step 1: Since 8373 > 6100, we apply the division lemma to 8373 and 6100, to get
8373 = 6100 x 1 + 2273
Step 2: Since the reminder 6100 ≠ 0, we apply division lemma to 2273 and 6100, to get
6100 = 2273 x 2 + 1554
Step 3: We consider the new divisor 2273 and the new remainder 1554, and apply the division lemma to get
2273 = 1554 x 1 + 719
We consider the new divisor 1554 and the new remainder 719,and apply the division lemma to get
1554 = 719 x 2 + 116
We consider the new divisor 719 and the new remainder 116,and apply the division lemma to get
719 = 116 x 6 + 23
We consider the new divisor 116 and the new remainder 23,and apply the division lemma to get
116 = 23 x 5 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6100 and 8373 is 1
Notice that 1 = HCF(23,1) = HCF(116,23) = HCF(719,116) = HCF(1554,719) = HCF(2273,1554) = HCF(6100,2273) = HCF(8373,6100) .
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Frequently Asked Questions on HCF of 6100, 8373 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 6100, 8373?
Answer: HCF of 6100, 8373 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6100, 8373 using Euclid's Algorithm?
Answer: For arbitrary numbers 6100, 8373 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
