Highest Common Factor of 2699, 7784 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 2699, 7784 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2699, 7784 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 2699, 7784 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 2699, 7784 is 1.
HCF(2699, 7784) = 1
HCF of 2699, 7784 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2699, 7784 is 1.
Highest Common Factor of 2699,7784 is 1
Step 1: Since 7784 > 2699, we apply the division lemma to 7784 and 2699, to get
7784 = 2699 x 2 + 2386
Step 2: Since the reminder 2699 ≠ 0, we apply division lemma to 2386 and 2699, to get
2699 = 2386 x 1 + 313
Step 3: We consider the new divisor 2386 and the new remainder 313, and apply the division lemma to get
2386 = 313 x 7 + 195
We consider the new divisor 313 and the new remainder 195,and apply the division lemma to get
313 = 195 x 1 + 118
We consider the new divisor 195 and the new remainder 118,and apply the division lemma to get
195 = 118 x 1 + 77
We consider the new divisor 118 and the new remainder 77,and apply the division lemma to get
118 = 77 x 1 + 41
We consider the new divisor 77 and the new remainder 41,and apply the division lemma to get
77 = 41 x 1 + 36
We consider the new divisor 41 and the new remainder 36,and apply the division lemma to get
41 = 36 x 1 + 5
We consider the new divisor 36 and the new remainder 5,and apply the division lemma to get
36 = 5 x 7 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2699 and 7784 is 1
Notice that 1 = HCF(5,1) = HCF(36,5) = HCF(41,36) = HCF(77,41) = HCF(118,77) = HCF(195,118) = HCF(313,195) = HCF(2386,313) = HCF(2699,2386) = HCF(7784,2699) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2699, 7784 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 2699, 7784?
Answer: HCF of 2699, 7784 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2699, 7784 using Euclid's Algorithm?
Answer: For arbitrary numbers 2699, 7784 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.