Highest Common Factor of 7826, 7084 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 7826, 7084 i.e. 14 the largest integer that leaves a remainder zero for all numbers.
HCF of 7826, 7084 is 14 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 7826, 7084 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 7826, 7084 is 14.
HCF(7826, 7084) = 14
HCF of 7826, 7084 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7826, 7084 is 14.
Highest Common Factor of 7826,7084 is 14
Step 1: Since 7826 > 7084, we apply the division lemma to 7826 and 7084, to get
7826 = 7084 x 1 + 742
Step 2: Since the reminder 7084 ≠ 0, we apply division lemma to 742 and 7084, to get
7084 = 742 x 9 + 406
Step 3: We consider the new divisor 742 and the new remainder 406, and apply the division lemma to get
742 = 406 x 1 + 336
We consider the new divisor 406 and the new remainder 336,and apply the division lemma to get
406 = 336 x 1 + 70
We consider the new divisor 336 and the new remainder 70,and apply the division lemma to get
336 = 70 x 4 + 56
We consider the new divisor 70 and the new remainder 56,and apply the division lemma to get
70 = 56 x 1 + 14
We consider the new divisor 56 and the new remainder 14,and apply the division lemma to get
56 = 14 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 7826 and 7084 is 14
Notice that 14 = HCF(56,14) = HCF(70,56) = HCF(336,70) = HCF(406,336) = HCF(742,406) = HCF(7084,742) = HCF(7826,7084) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7826, 7084 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 7826, 7084?
Answer: HCF of 7826, 7084 is 14 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7826, 7084 using Euclid's Algorithm?
Answer: For arbitrary numbers 7826, 7084 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
