Highest Common Factor of 3295, 7866 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 3295, 7866 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3295, 7866 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 3295, 7866 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 3295, 7866 is 1.
HCF(3295, 7866) = 1
HCF of 3295, 7866 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3295, 7866 is 1.
Highest Common Factor of 3295,7866 is 1
Step 1: Since 7866 > 3295, we apply the division lemma to 7866 and 3295, to get
7866 = 3295 x 2 + 1276
Step 2: Since the reminder 3295 ≠ 0, we apply division lemma to 1276 and 3295, to get
3295 = 1276 x 2 + 743
Step 3: We consider the new divisor 1276 and the new remainder 743, and apply the division lemma to get
1276 = 743 x 1 + 533
We consider the new divisor 743 and the new remainder 533,and apply the division lemma to get
743 = 533 x 1 + 210
We consider the new divisor 533 and the new remainder 210,and apply the division lemma to get
533 = 210 x 2 + 113
We consider the new divisor 210 and the new remainder 113,and apply the division lemma to get
210 = 113 x 1 + 97
We consider the new divisor 113 and the new remainder 97,and apply the division lemma to get
113 = 97 x 1 + 16
We consider the new divisor 97 and the new remainder 16,and apply the division lemma to get
97 = 16 x 6 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3295 and 7866 is 1
Notice that 1 = HCF(16,1) = HCF(97,16) = HCF(113,97) = HCF(210,113) = HCF(533,210) = HCF(743,533) = HCF(1276,743) = HCF(3295,1276) = HCF(7866,3295) .
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Frequently Asked Questions on HCF of 3295, 7866 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 3295, 7866?
Answer: HCF of 3295, 7866 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3295, 7866 using Euclid's Algorithm?
Answer: For arbitrary numbers 3295, 7866 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.