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 948, 23594 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 948, 23594 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 948, 23594 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 948, 23594 is 2.
HCF(948, 23594) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 948, 23594 is 2.
Step 1: Since 23594 > 948, we apply the division lemma to 23594 and 948, to get
23594 = 948 x 24 + 842
Step 2: Since the reminder 948 ≠ 0, we apply division lemma to 842 and 948, to get
948 = 842 x 1 + 106
Step 3: We consider the new divisor 842 and the new remainder 106, and apply the division lemma to get
842 = 106 x 7 + 100
We consider the new divisor 106 and the new remainder 100,and apply the division lemma to get
106 = 100 x 1 + 6
We consider the new divisor 100 and the new remainder 6,and apply the division lemma to get
100 = 6 x 16 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 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 948 and 23594 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(100,6) = HCF(106,100) = HCF(842,106) = HCF(948,842) = HCF(23594,948) .
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 948, 23594?
Answer: HCF of 948, 23594 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 948, 23594 using Euclid's Algorithm?
Answer: For arbitrary numbers 948, 23594 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.