Highest Common Factor of 9599, 7525 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 9599, 7525 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9599, 7525 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 9599, 7525 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 9599, 7525 is 1.
HCF(9599, 7525) = 1
HCF of 9599, 7525 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9599, 7525 is 1.
Highest Common Factor of 9599,7525 is 1
Step 1: Since 9599 > 7525, we apply the division lemma to 9599 and 7525, to get
9599 = 7525 x 1 + 2074
Step 2: Since the reminder 7525 ≠ 0, we apply division lemma to 2074 and 7525, to get
7525 = 2074 x 3 + 1303
Step 3: We consider the new divisor 2074 and the new remainder 1303, and apply the division lemma to get
2074 = 1303 x 1 + 771
We consider the new divisor 1303 and the new remainder 771,and apply the division lemma to get
1303 = 771 x 1 + 532
We consider the new divisor 771 and the new remainder 532,and apply the division lemma to get
771 = 532 x 1 + 239
We consider the new divisor 532 and the new remainder 239,and apply the division lemma to get
532 = 239 x 2 + 54
We consider the new divisor 239 and the new remainder 54,and apply the division lemma to get
239 = 54 x 4 + 23
We consider the new divisor 54 and the new remainder 23,and apply the division lemma to get
54 = 23 x 2 + 8
We consider the new divisor 23 and the new remainder 8,and apply the division lemma to get
23 = 8 x 2 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9599 and 7525 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(23,8) = HCF(54,23) = HCF(239,54) = HCF(532,239) = HCF(771,532) = HCF(1303,771) = HCF(2074,1303) = HCF(7525,2074) = HCF(9599,7525) .
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Frequently Asked Questions on HCF of 9599, 7525 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 9599, 7525?
Answer: HCF of 9599, 7525 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9599, 7525 using Euclid's Algorithm?
Answer: For arbitrary numbers 9599, 7525 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
