Highest Common Factor of 6748, 1195 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 6748, 1195 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6748, 1195 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 6748, 1195 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 6748, 1195 is 1.
HCF(6748, 1195) = 1
HCF of 6748, 1195 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6748, 1195 is 1.
Highest Common Factor of 6748,1195 is 1
Step 1: Since 6748 > 1195, we apply the division lemma to 6748 and 1195, to get
6748 = 1195 x 5 + 773
Step 2: Since the reminder 1195 ≠ 0, we apply division lemma to 773 and 1195, to get
1195 = 773 x 1 + 422
Step 3: We consider the new divisor 773 and the new remainder 422, and apply the division lemma to get
773 = 422 x 1 + 351
We consider the new divisor 422 and the new remainder 351,and apply the division lemma to get
422 = 351 x 1 + 71
We consider the new divisor 351 and the new remainder 71,and apply the division lemma to get
351 = 71 x 4 + 67
We consider the new divisor 71 and the new remainder 67,and apply the division lemma to get
71 = 67 x 1 + 4
We consider the new divisor 67 and the new remainder 4,and apply the division lemma to get
67 = 4 x 16 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6748 and 1195 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(67,4) = HCF(71,67) = HCF(351,71) = HCF(422,351) = HCF(773,422) = HCF(1195,773) = HCF(6748,1195) .
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Frequently Asked Questions on HCF of 6748, 1195 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 6748, 1195?
Answer: HCF of 6748, 1195 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6748, 1195 using Euclid's Algorithm?
Answer: For arbitrary numbers 6748, 1195 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
