Highest Common Factor of 6195, 1176 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 6195, 1176 i.e. 21 the largest integer that leaves a remainder zero for all numbers.
HCF of 6195, 1176 is 21 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 6195, 1176 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 6195, 1176 is 21.
HCF(6195, 1176) = 21
HCF of 6195, 1176 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6195, 1176 is 21.
Highest Common Factor of 6195,1176 is 21
Step 1: Since 6195 > 1176, we apply the division lemma to 6195 and 1176, to get
6195 = 1176 x 5 + 315
Step 2: Since the reminder 1176 ≠ 0, we apply division lemma to 315 and 1176, to get
1176 = 315 x 3 + 231
Step 3: We consider the new divisor 315 and the new remainder 231, and apply the division lemma to get
315 = 231 x 1 + 84
We consider the new divisor 231 and the new remainder 84,and apply the division lemma to get
231 = 84 x 2 + 63
We consider the new divisor 84 and the new remainder 63,and apply the division lemma to get
84 = 63 x 1 + 21
We consider the new divisor 63 and the new remainder 21,and apply the division lemma to get
63 = 21 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 21, the HCF of 6195 and 1176 is 21
Notice that 21 = HCF(63,21) = HCF(84,63) = HCF(231,84) = HCF(315,231) = HCF(1176,315) = HCF(6195,1176) .
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Frequently Asked Questions on HCF of 6195, 1176 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 6195, 1176?
Answer: HCF of 6195, 1176 is 21 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6195, 1176 using Euclid's Algorithm?
Answer: For arbitrary numbers 6195, 1176 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.