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 5600, 2376 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 5600, 2376 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 5600, 2376 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 5600, 2376 is 8.
HCF(5600, 2376) = 8
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5600, 2376 is 8.
Step 1: Since 5600 > 2376, we apply the division lemma to 5600 and 2376, to get
5600 = 2376 x 2 + 848
Step 2: Since the reminder 2376 ≠ 0, we apply division lemma to 848 and 2376, to get
2376 = 848 x 2 + 680
Step 3: We consider the new divisor 848 and the new remainder 680, and apply the division lemma to get
848 = 680 x 1 + 168
We consider the new divisor 680 and the new remainder 168,and apply the division lemma to get
680 = 168 x 4 + 8
We consider the new divisor 168 and the new remainder 8,and apply the division lemma to get
168 = 8 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 5600 and 2376 is 8
Notice that 8 = HCF(168,8) = HCF(680,168) = HCF(848,680) = HCF(2376,848) = HCF(5600,2376) .
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 5600, 2376?
Answer: HCF of 5600, 2376 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5600, 2376 using Euclid's Algorithm?
Answer: For arbitrary numbers 5600, 2376 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.