Highest Common Factor of 1987, 8944 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 1987, 8944 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1987, 8944 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 1987, 8944 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 1987, 8944 is 1.
HCF(1987, 8944) = 1
HCF of 1987, 8944 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1987, 8944 is 1.
Highest Common Factor of 1987,8944 is 1
Step 1: Since 8944 > 1987, we apply the division lemma to 8944 and 1987, to get
8944 = 1987 x 4 + 996
Step 2: Since the reminder 1987 ≠ 0, we apply division lemma to 996 and 1987, to get
1987 = 996 x 1 + 991
Step 3: We consider the new divisor 996 and the new remainder 991, and apply the division lemma to get
996 = 991 x 1 + 5
We consider the new divisor 991 and the new remainder 5,and apply the division lemma to get
991 = 5 x 198 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1987 and 8944 is 1
Notice that 1 = HCF(5,1) = HCF(991,5) = HCF(996,991) = HCF(1987,996) = HCF(8944,1987) .
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Frequently Asked Questions on HCF of 1987, 8944 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 1987, 8944?
Answer: HCF of 1987, 8944 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1987, 8944 using Euclid's Algorithm?
Answer: For arbitrary numbers 1987, 8944 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.