Highest Common Factor of 6394, 7957, 20253 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 6394, 7957, 20253 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6394, 7957, 20253 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 6394, 7957, 20253 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 6394, 7957, 20253 is 1.
HCF(6394, 7957, 20253) = 1
HCF of 6394, 7957, 20253 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6394, 7957, 20253 is 1.
Highest Common Factor of 6394,7957,20253 is 1
Step 1: Since 7957 > 6394, we apply the division lemma to 7957 and 6394, to get
7957 = 6394 x 1 + 1563
Step 2: Since the reminder 6394 ≠ 0, we apply division lemma to 1563 and 6394, to get
6394 = 1563 x 4 + 142
Step 3: We consider the new divisor 1563 and the new remainder 142, and apply the division lemma to get
1563 = 142 x 11 + 1
We consider the new divisor 142 and the new remainder 1, and apply the division lemma to get
142 = 1 x 142 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6394 and 7957 is 1
Notice that 1 = HCF(142,1) = HCF(1563,142) = HCF(6394,1563) = HCF(7957,6394) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 20253 > 1, we apply the division lemma to 20253 and 1, to get
20253 = 1 x 20253 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 20253 is 1
Notice that 1 = HCF(20253,1) .
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Frequently Asked Questions on HCF of 6394, 7957, 20253 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 6394, 7957, 20253?
Answer: HCF of 6394, 7957, 20253 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6394, 7957, 20253 using Euclid's Algorithm?
Answer: For arbitrary numbers 6394, 7957, 20253 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.