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 3592, 1448 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 3592, 1448 is 8 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 3592, 1448 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 3592, 1448 is 8.
HCF(3592, 1448) = 8
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3592, 1448 is 8.
Step 1: Since 3592 > 1448, we apply the division lemma to 3592 and 1448, to get
3592 = 1448 x 2 + 696
Step 2: Since the reminder 1448 ≠ 0, we apply division lemma to 696 and 1448, to get
1448 = 696 x 2 + 56
Step 3: We consider the new divisor 696 and the new remainder 56, and apply the division lemma to get
696 = 56 x 12 + 24
We consider the new divisor 56 and the new remainder 24,and apply the division lemma to get
56 = 24 x 2 + 8
We consider the new divisor 24 and the new remainder 8,and apply the division lemma to get
24 = 8 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 3592 and 1448 is 8
Notice that 8 = HCF(24,8) = HCF(56,24) = HCF(696,56) = HCF(1448,696) = HCF(3592,1448) .
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 3592, 1448?
Answer: HCF of 3592, 1448 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3592, 1448 using Euclid's Algorithm?
Answer: For arbitrary numbers 3592, 1448 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.