Highest Common Factor of 4768, 7514 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 4768, 7514 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4768, 7514 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 4768, 7514 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 4768, 7514 is 2.
HCF(4768, 7514) = 2
HCF of 4768, 7514 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4768, 7514 is 2.
Highest Common Factor of 4768,7514 is 2
Step 1: Since 7514 > 4768, we apply the division lemma to 7514 and 4768, to get
7514 = 4768 x 1 + 2746
Step 2: Since the reminder 4768 ≠ 0, we apply division lemma to 2746 and 4768, to get
4768 = 2746 x 1 + 2022
Step 3: We consider the new divisor 2746 and the new remainder 2022, and apply the division lemma to get
2746 = 2022 x 1 + 724
We consider the new divisor 2022 and the new remainder 724,and apply the division lemma to get
2022 = 724 x 2 + 574
We consider the new divisor 724 and the new remainder 574,and apply the division lemma to get
724 = 574 x 1 + 150
We consider the new divisor 574 and the new remainder 150,and apply the division lemma to get
574 = 150 x 3 + 124
We consider the new divisor 150 and the new remainder 124,and apply the division lemma to get
150 = 124 x 1 + 26
We consider the new divisor 124 and the new remainder 26,and apply the division lemma to get
124 = 26 x 4 + 20
We consider the new divisor 26 and the new remainder 20,and apply the division lemma to get
26 = 20 x 1 + 6
We consider the new divisor 20 and the new remainder 6,and apply the division lemma to get
20 = 6 x 3 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4768 and 7514 is 2
Notice that 2 = HCF(6,2) = HCF(20,6) = HCF(26,20) = HCF(124,26) = HCF(150,124) = HCF(574,150) = HCF(724,574) = HCF(2022,724) = HCF(2746,2022) = HCF(4768,2746) = HCF(7514,4768) .
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Frequently Asked Questions on HCF of 4768, 7514 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 4768, 7514?
Answer: HCF of 4768, 7514 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4768, 7514 using Euclid's Algorithm?
Answer: For arbitrary numbers 4768, 7514 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.