Highest Common Factor of 7893, 3755 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 7893, 3755 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7893, 3755 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 7893, 3755 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 7893, 3755 is 1.
HCF(7893, 3755) = 1
HCF of 7893, 3755 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7893, 3755 is 1.
Highest Common Factor of 7893,3755 is 1
Step 1: Since 7893 > 3755, we apply the division lemma to 7893 and 3755, to get
7893 = 3755 x 2 + 383
Step 2: Since the reminder 3755 ≠ 0, we apply division lemma to 383 and 3755, to get
3755 = 383 x 9 + 308
Step 3: We consider the new divisor 383 and the new remainder 308, and apply the division lemma to get
383 = 308 x 1 + 75
We consider the new divisor 308 and the new remainder 75,and apply the division lemma to get
308 = 75 x 4 + 8
We consider the new divisor 75 and the new remainder 8,and apply the division lemma to get
75 = 8 x 9 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7893 and 3755 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(75,8) = HCF(308,75) = HCF(383,308) = HCF(3755,383) = HCF(7893,3755) .
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Frequently Asked Questions on HCF of 7893, 3755 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 7893, 3755?
Answer: HCF of 7893, 3755 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7893, 3755 using Euclid's Algorithm?
Answer: For arbitrary numbers 7893, 3755 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.