Highest Common Factor of 7413, 5327 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 7413, 5327 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 7413, 5327 is 7 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 7413, 5327 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 7413, 5327 is 7.
HCF(7413, 5327) = 7
HCF of 7413, 5327 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7413, 5327 is 7.
Highest Common Factor of 7413,5327 is 7
Step 1: Since 7413 > 5327, we apply the division lemma to 7413 and 5327, to get
7413 = 5327 x 1 + 2086
Step 2: Since the reminder 5327 ≠ 0, we apply division lemma to 2086 and 5327, to get
5327 = 2086 x 2 + 1155
Step 3: We consider the new divisor 2086 and the new remainder 1155, and apply the division lemma to get
2086 = 1155 x 1 + 931
We consider the new divisor 1155 and the new remainder 931,and apply the division lemma to get
1155 = 931 x 1 + 224
We consider the new divisor 931 and the new remainder 224,and apply the division lemma to get
931 = 224 x 4 + 35
We consider the new divisor 224 and the new remainder 35,and apply the division lemma to get
224 = 35 x 6 + 14
We consider the new divisor 35 and the new remainder 14,and apply the division lemma to get
35 = 14 x 2 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 7413 and 5327 is 7
Notice that 7 = HCF(14,7) = HCF(35,14) = HCF(224,35) = HCF(931,224) = HCF(1155,931) = HCF(2086,1155) = HCF(5327,2086) = HCF(7413,5327) .
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Frequently Asked Questions on HCF of 7413, 5327 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 7413, 5327?
Answer: HCF of 7413, 5327 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7413, 5327 using Euclid's Algorithm?
Answer: For arbitrary numbers 7413, 5327 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.