Highest Common Factor of 6849, 1802 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 6849, 1802 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6849, 1802 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 6849, 1802 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 6849, 1802 is 1.
HCF(6849, 1802) = 1
HCF of 6849, 1802 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6849, 1802 is 1.
Highest Common Factor of 6849,1802 is 1
Step 1: Since 6849 > 1802, we apply the division lemma to 6849 and 1802, to get
6849 = 1802 x 3 + 1443
Step 2: Since the reminder 1802 ≠ 0, we apply division lemma to 1443 and 1802, to get
1802 = 1443 x 1 + 359
Step 3: We consider the new divisor 1443 and the new remainder 359, and apply the division lemma to get
1443 = 359 x 4 + 7
We consider the new divisor 359 and the new remainder 7,and apply the division lemma to get
359 = 7 x 51 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 6849 and 1802 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(359,7) = HCF(1443,359) = HCF(1802,1443) = HCF(6849,1802) .
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Frequently Asked Questions on HCF of 6849, 1802 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 6849, 1802?
Answer: HCF of 6849, 1802 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6849, 1802 using Euclid's Algorithm?
Answer: For arbitrary numbers 6849, 1802 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
