Highest Common Factor of 4361, 7528 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 4361, 7528 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4361, 7528 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 4361, 7528 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 4361, 7528 is 1.
HCF(4361, 7528) = 1
HCF of 4361, 7528 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4361, 7528 is 1.
Highest Common Factor of 4361,7528 is 1
Step 1: Since 7528 > 4361, we apply the division lemma to 7528 and 4361, to get
7528 = 4361 x 1 + 3167
Step 2: Since the reminder 4361 ≠ 0, we apply division lemma to 3167 and 4361, to get
4361 = 3167 x 1 + 1194
Step 3: We consider the new divisor 3167 and the new remainder 1194, and apply the division lemma to get
3167 = 1194 x 2 + 779
We consider the new divisor 1194 and the new remainder 779,and apply the division lemma to get
1194 = 779 x 1 + 415
We consider the new divisor 779 and the new remainder 415,and apply the division lemma to get
779 = 415 x 1 + 364
We consider the new divisor 415 and the new remainder 364,and apply the division lemma to get
415 = 364 x 1 + 51
We consider the new divisor 364 and the new remainder 51,and apply the division lemma to get
364 = 51 x 7 + 7
We consider the new divisor 51 and the new remainder 7,and apply the division lemma to get
51 = 7 x 7 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 4361 and 7528 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(51,7) = HCF(364,51) = HCF(415,364) = HCF(779,415) = HCF(1194,779) = HCF(3167,1194) = HCF(4361,3167) = HCF(7528,4361) .
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Frequently Asked Questions on HCF of 4361, 7528 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 4361, 7528?
Answer: HCF of 4361, 7528 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4361, 7528 using Euclid's Algorithm?
Answer: For arbitrary numbers 4361, 7528 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
