Highest Common Factor of 6826, 5370 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 6826, 5370 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6826, 5370 is 2 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 6826, 5370 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 6826, 5370 is 2.
HCF(6826, 5370) = 2
HCF of 6826, 5370 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6826, 5370 is 2.
Highest Common Factor of 6826,5370 is 2
Step 1: Since 6826 > 5370, we apply the division lemma to 6826 and 5370, to get
6826 = 5370 x 1 + 1456
Step 2: Since the reminder 5370 ≠ 0, we apply division lemma to 1456 and 5370, to get
5370 = 1456 x 3 + 1002
Step 3: We consider the new divisor 1456 and the new remainder 1002, and apply the division lemma to get
1456 = 1002 x 1 + 454
We consider the new divisor 1002 and the new remainder 454,and apply the division lemma to get
1002 = 454 x 2 + 94
We consider the new divisor 454 and the new remainder 94,and apply the division lemma to get
454 = 94 x 4 + 78
We consider the new divisor 94 and the new remainder 78,and apply the division lemma to get
94 = 78 x 1 + 16
We consider the new divisor 78 and the new remainder 16,and apply the division lemma to get
78 = 16 x 4 + 14
We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get
16 = 14 x 1 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6826 and 5370 is 2
Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(78,16) = HCF(94,78) = HCF(454,94) = HCF(1002,454) = HCF(1456,1002) = HCF(5370,1456) = HCF(6826,5370) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6826, 5370 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 6826, 5370?
Answer: HCF of 6826, 5370 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6826, 5370 using Euclid's Algorithm?
Answer: For arbitrary numbers 6826, 5370 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.