Highest Common Factor of 840, 6082, 4938 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 840, 6082, 4938 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 840, 6082, 4938 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 840, 6082, 4938 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 840, 6082, 4938 is 2.
HCF(840, 6082, 4938) = 2
HCF of 840, 6082, 4938 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 840, 6082, 4938 is 2.
Highest Common Factor of 840,6082,4938 is 2
Step 1: Since 6082 > 840, we apply the division lemma to 6082 and 840, to get
6082 = 840 x 7 + 202
Step 2: Since the reminder 840 ≠ 0, we apply division lemma to 202 and 840, to get
840 = 202 x 4 + 32
Step 3: We consider the new divisor 202 and the new remainder 32, and apply the division lemma to get
202 = 32 x 6 + 10
We consider the new divisor 32 and the new remainder 10,and apply the division lemma to get
32 = 10 x 3 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 840 and 6082 is 2
Notice that 2 = HCF(10,2) = HCF(32,10) = HCF(202,32) = HCF(840,202) = HCF(6082,840) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4938 > 2, we apply the division lemma to 4938 and 2, to get
4938 = 2 x 2469 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 4938 is 2
Notice that 2 = HCF(4938,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 840, 6082, 4938 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 840, 6082, 4938?
Answer: HCF of 840, 6082, 4938 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 840, 6082, 4938 using Euclid's Algorithm?
Answer: For arbitrary numbers 840, 6082, 4938 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.