Highest Common Factor of 1285, 7538 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 1285, 7538 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1285, 7538 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 1285, 7538 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 1285, 7538 is 1.
HCF(1285, 7538) = 1
HCF of 1285, 7538 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1285, 7538 is 1.
Highest Common Factor of 1285,7538 is 1
Step 1: Since 7538 > 1285, we apply the division lemma to 7538 and 1285, to get
7538 = 1285 x 5 + 1113
Step 2: Since the reminder 1285 ≠ 0, we apply division lemma to 1113 and 1285, to get
1285 = 1113 x 1 + 172
Step 3: We consider the new divisor 1113 and the new remainder 172, and apply the division lemma to get
1113 = 172 x 6 + 81
We consider the new divisor 172 and the new remainder 81,and apply the division lemma to get
172 = 81 x 2 + 10
We consider the new divisor 81 and the new remainder 10,and apply the division lemma to get
81 = 10 x 8 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1285 and 7538 is 1
Notice that 1 = HCF(10,1) = HCF(81,10) = HCF(172,81) = HCF(1113,172) = HCF(1285,1113) = HCF(7538,1285) .
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Frequently Asked Questions on HCF of 1285, 7538 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 1285, 7538?
Answer: HCF of 1285, 7538 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1285, 7538 using Euclid's Algorithm?
Answer: For arbitrary numbers 1285, 7538 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.