Highest Common Factor of 4192, 2488 using Euclid's algorithm
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 4192, 2488 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 4192, 2488 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 4192, 2488 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 4192, 2488 is 8.
HCF(4192, 2488) = 8
HCF of 4192, 2488 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4192, 2488 is 8.
Highest Common Factor of 4192,2488 is 8
Step 1: Since 4192 > 2488, we apply the division lemma to 4192 and 2488, to get
4192 = 2488 x 1 + 1704
Step 2: Since the reminder 2488 ≠ 0, we apply division lemma to 1704 and 2488, to get
2488 = 1704 x 1 + 784
Step 3: We consider the new divisor 1704 and the new remainder 784, and apply the division lemma to get
1704 = 784 x 2 + 136
We consider the new divisor 784 and the new remainder 136,and apply the division lemma to get
784 = 136 x 5 + 104
We consider the new divisor 136 and the new remainder 104,and apply the division lemma to get
136 = 104 x 1 + 32
We consider the new divisor 104 and the new remainder 32,and apply the division lemma to get
104 = 32 x 3 + 8
We consider the new divisor 32 and the new remainder 8,and apply the division lemma to get
32 = 8 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 4192 and 2488 is 8
Notice that 8 = HCF(32,8) = HCF(104,32) = HCF(136,104) = HCF(784,136) = HCF(1704,784) = HCF(2488,1704) = HCF(4192,2488) .
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Frequently Asked Questions on HCF of 4192, 2488 using Euclid's Algorithm
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 4192, 2488?
Answer: HCF of 4192, 2488 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4192, 2488 using Euclid's Algorithm?
Answer: For arbitrary numbers 4192, 2488 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.