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 142, 608 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 142, 608 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 142, 608 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 142, 608 is 2.
HCF(142, 608) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 142, 608 is 2.
Step 1: Since 608 > 142, we apply the division lemma to 608 and 142, to get
608 = 142 x 4 + 40
Step 2: Since the reminder 142 ≠ 0, we apply division lemma to 40 and 142, to get
142 = 40 x 3 + 22
Step 3: We consider the new divisor 40 and the new remainder 22, and apply the division lemma to get
40 = 22 x 1 + 18
We consider the new divisor 22 and the new remainder 18,and apply the division lemma to get
22 = 18 x 1 + 4
We consider the new divisor 18 and the new remainder 4,and apply the division lemma to get
18 = 4 x 4 + 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 142 and 608 is 2
Notice that 2 = HCF(4,2) = HCF(18,4) = HCF(22,18) = HCF(40,22) = HCF(142,40) = HCF(608,142) .
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 142, 608?
Answer: HCF of 142, 608 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 142, 608 using Euclid's Algorithm?
Answer: For arbitrary numbers 142, 608 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.