Highest Common Factor of 4996, 7592 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 4996, 7592 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 4996, 7592 is 4 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 4996, 7592 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 4996, 7592 is 4.
HCF(4996, 7592) = 4
HCF of 4996, 7592 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4996, 7592 is 4.
Highest Common Factor of 4996,7592 is 4
Step 1: Since 7592 > 4996, we apply the division lemma to 7592 and 4996, to get
7592 = 4996 x 1 + 2596
Step 2: Since the reminder 4996 ≠ 0, we apply division lemma to 2596 and 4996, to get
4996 = 2596 x 1 + 2400
Step 3: We consider the new divisor 2596 and the new remainder 2400, and apply the division lemma to get
2596 = 2400 x 1 + 196
We consider the new divisor 2400 and the new remainder 196,and apply the division lemma to get
2400 = 196 x 12 + 48
We consider the new divisor 196 and the new remainder 48,and apply the division lemma to get
196 = 48 x 4 + 4
We consider the new divisor 48 and the new remainder 4,and apply the division lemma to get
48 = 4 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4996 and 7592 is 4
Notice that 4 = HCF(48,4) = HCF(196,48) = HCF(2400,196) = HCF(2596,2400) = HCF(4996,2596) = HCF(7592,4996) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4996, 7592 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 4996, 7592?
Answer: HCF of 4996, 7592 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4996, 7592 using Euclid's Algorithm?
Answer: For arbitrary numbers 4996, 7592 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.