Highest Common Factor of 992, 583, 775, 914 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 992, 583, 775, 914 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 992, 583, 775, 914 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 992, 583, 775, 914 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 992, 583, 775, 914 is 1.
HCF(992, 583, 775, 914) = 1
HCF of 992, 583, 775, 914 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 992, 583, 775, 914 is 1.
Highest Common Factor of 992,583,775,914 is 1
Step 1: Since 992 > 583, we apply the division lemma to 992 and 583, to get
992 = 583 x 1 + 409
Step 2: Since the reminder 583 ≠ 0, we apply division lemma to 409 and 583, to get
583 = 409 x 1 + 174
Step 3: We consider the new divisor 409 and the new remainder 174, and apply the division lemma to get
409 = 174 x 2 + 61
We consider the new divisor 174 and the new remainder 61,and apply the division lemma to get
174 = 61 x 2 + 52
We consider the new divisor 61 and the new remainder 52,and apply the division lemma to get
61 = 52 x 1 + 9
We consider the new divisor 52 and the new remainder 9,and apply the division lemma to get
52 = 9 x 5 + 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 992 and 583 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(52,9) = HCF(61,52) = HCF(174,61) = HCF(409,174) = HCF(583,409) = HCF(992,583) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 775 > 1, we apply the division lemma to 775 and 1, to get
775 = 1 x 775 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 775 is 1
Notice that 1 = HCF(775,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 914 > 1, we apply the division lemma to 914 and 1, to get
914 = 1 x 914 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 914 is 1
Notice that 1 = HCF(914,1) .
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Frequently Asked Questions on HCF of 992, 583, 775, 914 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 992, 583, 775, 914?
Answer: HCF of 992, 583, 775, 914 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 992, 583, 775, 914 using Euclid's Algorithm?
Answer: For arbitrary numbers 992, 583, 775, 914 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.