Highest Common Factor of 9552, 7513 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 9552, 7513 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9552, 7513 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 9552, 7513 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 9552, 7513 is 1.
HCF(9552, 7513) = 1
HCF of 9552, 7513 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9552, 7513 is 1.
Highest Common Factor of 9552,7513 is 1
Step 1: Since 9552 > 7513, we apply the division lemma to 9552 and 7513, to get
9552 = 7513 x 1 + 2039
Step 2: Since the reminder 7513 ≠ 0, we apply division lemma to 2039 and 7513, to get
7513 = 2039 x 3 + 1396
Step 3: We consider the new divisor 2039 and the new remainder 1396, and apply the division lemma to get
2039 = 1396 x 1 + 643
We consider the new divisor 1396 and the new remainder 643,and apply the division lemma to get
1396 = 643 x 2 + 110
We consider the new divisor 643 and the new remainder 110,and apply the division lemma to get
643 = 110 x 5 + 93
We consider the new divisor 110 and the new remainder 93,and apply the division lemma to get
110 = 93 x 1 + 17
We consider the new divisor 93 and the new remainder 17,and apply the division lemma to get
93 = 17 x 5 + 8
We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get
17 = 8 x 2 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9552 and 7513 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(93,17) = HCF(110,93) = HCF(643,110) = HCF(1396,643) = HCF(2039,1396) = HCF(7513,2039) = HCF(9552,7513) .
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Frequently Asked Questions on HCF of 9552, 7513 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 9552, 7513?
Answer: HCF of 9552, 7513 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9552, 7513 using Euclid's Algorithm?
Answer: For arbitrary numbers 9552, 7513 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.