Highest Common Factor of 7503, 8526 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 7503, 8526 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7503, 8526 is 3 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 7503, 8526 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 7503, 8526 is 3.
HCF(7503, 8526) = 3
HCF of 7503, 8526 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7503, 8526 is 3.
Highest Common Factor of 7503,8526 is 3
Step 1: Since 8526 > 7503, we apply the division lemma to 8526 and 7503, to get
8526 = 7503 x 1 + 1023
Step 2: Since the reminder 7503 ≠ 0, we apply division lemma to 1023 and 7503, to get
7503 = 1023 x 7 + 342
Step 3: We consider the new divisor 1023 and the new remainder 342, and apply the division lemma to get
1023 = 342 x 2 + 339
We consider the new divisor 342 and the new remainder 339,and apply the division lemma to get
342 = 339 x 1 + 3
We consider the new divisor 339 and the new remainder 3,and apply the division lemma to get
339 = 3 x 113 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7503 and 8526 is 3
Notice that 3 = HCF(339,3) = HCF(342,339) = HCF(1023,342) = HCF(7503,1023) = HCF(8526,7503) .
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Frequently Asked Questions on HCF of 7503, 8526 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 7503, 8526?
Answer: HCF of 7503, 8526 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7503, 8526 using Euclid's Algorithm?
Answer: For arbitrary numbers 7503, 8526 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.