Highest Common Factor of 6785, 4962 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 6785, 4962 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6785, 4962 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 6785, 4962 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 6785, 4962 is 1.
HCF(6785, 4962) = 1
HCF of 6785, 4962 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6785, 4962 is 1.
Highest Common Factor of 6785,4962 is 1
Step 1: Since 6785 > 4962, we apply the division lemma to 6785 and 4962, to get
6785 = 4962 x 1 + 1823
Step 2: Since the reminder 4962 ≠ 0, we apply division lemma to 1823 and 4962, to get
4962 = 1823 x 2 + 1316
Step 3: We consider the new divisor 1823 and the new remainder 1316, and apply the division lemma to get
1823 = 1316 x 1 + 507
We consider the new divisor 1316 and the new remainder 507,and apply the division lemma to get
1316 = 507 x 2 + 302
We consider the new divisor 507 and the new remainder 302,and apply the division lemma to get
507 = 302 x 1 + 205
We consider the new divisor 302 and the new remainder 205,and apply the division lemma to get
302 = 205 x 1 + 97
We consider the new divisor 205 and the new remainder 97,and apply the division lemma to get
205 = 97 x 2 + 11
We consider the new divisor 97 and the new remainder 11,and apply the division lemma to get
97 = 11 x 8 + 9
We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get
11 = 9 x 1 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 6785 and 4962 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(97,11) = HCF(205,97) = HCF(302,205) = HCF(507,302) = HCF(1316,507) = HCF(1823,1316) = HCF(4962,1823) = HCF(6785,4962) .
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Frequently Asked Questions on HCF of 6785, 4962 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 6785, 4962?
Answer: HCF of 6785, 4962 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6785, 4962 using Euclid's Algorithm?
Answer: For arbitrary numbers 6785, 4962 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.