Highest Common Factor of 925, 37536 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 925, 37536 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 925, 37536 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 925, 37536 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 925, 37536 is 1.
HCF(925, 37536) = 1
HCF of 925, 37536 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 925, 37536 is 1.
Highest Common Factor of 925,37536 is 1
Step 1: Since 37536 > 925, we apply the division lemma to 37536 and 925, to get
37536 = 925 x 40 + 536
Step 2: Since the reminder 925 ≠ 0, we apply division lemma to 536 and 925, to get
925 = 536 x 1 + 389
Step 3: We consider the new divisor 536 and the new remainder 389, and apply the division lemma to get
536 = 389 x 1 + 147
We consider the new divisor 389 and the new remainder 147,and apply the division lemma to get
389 = 147 x 2 + 95
We consider the new divisor 147 and the new remainder 95,and apply the division lemma to get
147 = 95 x 1 + 52
We consider the new divisor 95 and the new remainder 52,and apply the division lemma to get
95 = 52 x 1 + 43
We consider the new divisor 52 and the new remainder 43,and apply the division lemma to get
52 = 43 x 1 + 9
We consider the new divisor 43 and the new remainder 9,and apply the division lemma to get
43 = 9 x 4 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 925 and 37536 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(43,9) = HCF(52,43) = HCF(95,52) = HCF(147,95) = HCF(389,147) = HCF(536,389) = HCF(925,536) = HCF(37536,925) .
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Frequently Asked Questions on HCF of 925, 37536 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 925, 37536?
Answer: HCF of 925, 37536 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 925, 37536 using Euclid's Algorithm?
Answer: For arbitrary numbers 925, 37536 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.