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 6916, 4651 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6916, 4651 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 6916, 4651 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 6916, 4651 is 1.
HCF(6916, 4651) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6916, 4651 is 1.
Step 1: Since 6916 > 4651, we apply the division lemma to 6916 and 4651, to get
6916 = 4651 x 1 + 2265
Step 2: Since the reminder 4651 ≠ 0, we apply division lemma to 2265 and 4651, to get
4651 = 2265 x 2 + 121
Step 3: We consider the new divisor 2265 and the new remainder 121, and apply the division lemma to get
2265 = 121 x 18 + 87
We consider the new divisor 121 and the new remainder 87,and apply the division lemma to get
121 = 87 x 1 + 34
We consider the new divisor 87 and the new remainder 34,and apply the division lemma to get
87 = 34 x 2 + 19
We consider the new divisor 34 and the new remainder 19,and apply the division lemma to get
34 = 19 x 1 + 15
We consider the new divisor 19 and the new remainder 15,and apply the division lemma to get
19 = 15 x 1 + 4
We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get
15 = 4 x 3 + 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 6916 and 4651 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(34,19) = HCF(87,34) = HCF(121,87) = HCF(2265,121) = HCF(4651,2265) = HCF(6916,4651) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 6916, 4651?
Answer: HCF of 6916, 4651 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6916, 4651 using Euclid's Algorithm?
Answer: For arbitrary numbers 6916, 4651 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.