Highest Common Factor of 3726, 987 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 3726, 987 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3726, 987 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 3726, 987 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 3726, 987 is 3.
HCF(3726, 987) = 3
HCF of 3726, 987 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3726, 987 is 3.
Highest Common Factor of 3726,987 is 3
Step 1: Since 3726 > 987, we apply the division lemma to 3726 and 987, to get
3726 = 987 x 3 + 765
Step 2: Since the reminder 987 ≠ 0, we apply division lemma to 765 and 987, to get
987 = 765 x 1 + 222
Step 3: We consider the new divisor 765 and the new remainder 222, and apply the division lemma to get
765 = 222 x 3 + 99
We consider the new divisor 222 and the new remainder 99,and apply the division lemma to get
222 = 99 x 2 + 24
We consider the new divisor 99 and the new remainder 24,and apply the division lemma to get
99 = 24 x 4 + 3
We consider the new divisor 24 and the new remainder 3,and apply the division lemma to get
24 = 3 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3726 and 987 is 3
Notice that 3 = HCF(24,3) = HCF(99,24) = HCF(222,99) = HCF(765,222) = HCF(987,765) = HCF(3726,987) .
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Frequently Asked Questions on HCF of 3726, 987 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 3726, 987?
Answer: HCF of 3726, 987 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3726, 987 using Euclid's Algorithm?
Answer: For arbitrary numbers 3726, 987 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
