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 839, 983, 852, 62 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 839, 983, 852, 62 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 839, 983, 852, 62 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 839, 983, 852, 62 is 1.
HCF(839, 983, 852, 62) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 839, 983, 852, 62 is 1.
Step 1: Since 983 > 839, we apply the division lemma to 983 and 839, to get
983 = 839 x 1 + 144
Step 2: Since the reminder 839 ≠ 0, we apply division lemma to 144 and 839, to get
839 = 144 x 5 + 119
Step 3: We consider the new divisor 144 and the new remainder 119, and apply the division lemma to get
144 = 119 x 1 + 25
We consider the new divisor 119 and the new remainder 25,and apply the division lemma to get
119 = 25 x 4 + 19
We consider the new divisor 25 and the new remainder 19,and apply the division lemma to get
25 = 19 x 1 + 6
We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get
19 = 6 x 3 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 839 and 983 is 1
Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(25,19) = HCF(119,25) = HCF(144,119) = HCF(839,144) = HCF(983,839) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 852 > 1, we apply the division lemma to 852 and 1, to get
852 = 1 x 852 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 852 is 1
Notice that 1 = HCF(852,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 62 > 1, we apply the division lemma to 62 and 1, to get
62 = 1 x 62 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 62 is 1
Notice that 1 = HCF(62,1) .
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 839, 983, 852, 62?
Answer: HCF of 839, 983, 852, 62 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 839, 983, 852, 62 using Euclid's Algorithm?
Answer: For arbitrary numbers 839, 983, 852, 62 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.