Highest Common Factor of 4512, 5191 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 4512, 5191 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4512, 5191 is 1 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 4512, 5191 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 4512, 5191 is 1.
HCF(4512, 5191) = 1
HCF of 4512, 5191 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4512, 5191 is 1.
Highest Common Factor of 4512,5191 is 1
Step 1: Since 5191 > 4512, we apply the division lemma to 5191 and 4512, to get
5191 = 4512 x 1 + 679
Step 2: Since the reminder 4512 ≠ 0, we apply division lemma to 679 and 4512, to get
4512 = 679 x 6 + 438
Step 3: We consider the new divisor 679 and the new remainder 438, and apply the division lemma to get
679 = 438 x 1 + 241
We consider the new divisor 438 and the new remainder 241,and apply the division lemma to get
438 = 241 x 1 + 197
We consider the new divisor 241 and the new remainder 197,and apply the division lemma to get
241 = 197 x 1 + 44
We consider the new divisor 197 and the new remainder 44,and apply the division lemma to get
197 = 44 x 4 + 21
We consider the new divisor 44 and the new remainder 21,and apply the division lemma to get
44 = 21 x 2 + 2
We consider the new divisor 21 and the new remainder 2,and apply the division lemma to get
21 = 2 x 10 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4512 and 5191 is 1
Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(44,21) = HCF(197,44) = HCF(241,197) = HCF(438,241) = HCF(679,438) = HCF(4512,679) = HCF(5191,4512) .
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Frequently Asked Questions on HCF of 4512, 5191 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 4512, 5191?
Answer: HCF of 4512, 5191 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4512, 5191 using Euclid's Algorithm?
Answer: For arbitrary numbers 4512, 5191 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.