Highest Common Factor of 7962, 2185 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 7962, 2185 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7962, 2185 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 7962, 2185 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 7962, 2185 is 1.
HCF(7962, 2185) = 1
HCF of 7962, 2185 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7962, 2185 is 1.
Highest Common Factor of 7962,2185 is 1
Step 1: Since 7962 > 2185, we apply the division lemma to 7962 and 2185, to get
7962 = 2185 x 3 + 1407
Step 2: Since the reminder 2185 ≠ 0, we apply division lemma to 1407 and 2185, to get
2185 = 1407 x 1 + 778
Step 3: We consider the new divisor 1407 and the new remainder 778, and apply the division lemma to get
1407 = 778 x 1 + 629
We consider the new divisor 778 and the new remainder 629,and apply the division lemma to get
778 = 629 x 1 + 149
We consider the new divisor 629 and the new remainder 149,and apply the division lemma to get
629 = 149 x 4 + 33
We consider the new divisor 149 and the new remainder 33,and apply the division lemma to get
149 = 33 x 4 + 17
We consider the new divisor 33 and the new remainder 17,and apply the division lemma to get
33 = 17 x 1 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 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 7962 and 2185 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(33,17) = HCF(149,33) = HCF(629,149) = HCF(778,629) = HCF(1407,778) = HCF(2185,1407) = HCF(7962,2185) .
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Frequently Asked Questions on HCF of 7962, 2185 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 7962, 2185?
Answer: HCF of 7962, 2185 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7962, 2185 using Euclid's Algorithm?
Answer: For arbitrary numbers 7962, 2185 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.