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 4140, 5822 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4140, 5822 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 4140, 5822 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 4140, 5822 is 2.
HCF(4140, 5822) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4140, 5822 is 2.
Step 1: Since 5822 > 4140, we apply the division lemma to 5822 and 4140, to get
5822 = 4140 x 1 + 1682
Step 2: Since the reminder 4140 ≠ 0, we apply division lemma to 1682 and 4140, to get
4140 = 1682 x 2 + 776
Step 3: We consider the new divisor 1682 and the new remainder 776, and apply the division lemma to get
1682 = 776 x 2 + 130
We consider the new divisor 776 and the new remainder 130,and apply the division lemma to get
776 = 130 x 5 + 126
We consider the new divisor 130 and the new remainder 126,and apply the division lemma to get
130 = 126 x 1 + 4
We consider the new divisor 126 and the new remainder 4,and apply the division lemma to get
126 = 4 x 31 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4140 and 5822 is 2
Notice that 2 = HCF(4,2) = HCF(126,4) = HCF(130,126) = HCF(776,130) = HCF(1682,776) = HCF(4140,1682) = HCF(5822,4140) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 4140, 5822?
Answer: HCF of 4140, 5822 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4140, 5822 using Euclid's Algorithm?
Answer: For arbitrary numbers 4140, 5822 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.