Highest Common Factor of 548, 401, 359, 992 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 548, 401, 359, 992 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 548, 401, 359, 992 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 548, 401, 359, 992 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 548, 401, 359, 992 is 1.
HCF(548, 401, 359, 992) = 1
HCF of 548, 401, 359, 992 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 548, 401, 359, 992 is 1.
Highest Common Factor of 548,401,359,992 is 1
Step 1: Since 548 > 401, we apply the division lemma to 548 and 401, to get
548 = 401 x 1 + 147
Step 2: Since the reminder 401 ≠ 0, we apply division lemma to 147 and 401, to get
401 = 147 x 2 + 107
Step 3: We consider the new divisor 147 and the new remainder 107, and apply the division lemma to get
147 = 107 x 1 + 40
We consider the new divisor 107 and the new remainder 40,and apply the division lemma to get
107 = 40 x 2 + 27
We consider the new divisor 40 and the new remainder 27,and apply the division lemma to get
40 = 27 x 1 + 13
We consider the new divisor 27 and the new remainder 13,and apply the division lemma to get
27 = 13 x 2 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 548 and 401 is 1
Notice that 1 = HCF(13,1) = HCF(27,13) = HCF(40,27) = HCF(107,40) = HCF(147,107) = HCF(401,147) = HCF(548,401) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 359 > 1, we apply the division lemma to 359 and 1, to get
359 = 1 x 359 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 359 is 1
Notice that 1 = HCF(359,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 992 > 1, we apply the division lemma to 992 and 1, to get
992 = 1 x 992 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 992 is 1
Notice that 1 = HCF(992,1) .
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Frequently Asked Questions on HCF of 548, 401, 359, 992 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 548, 401, 359, 992?
Answer: HCF of 548, 401, 359, 992 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 548, 401, 359, 992 using Euclid's Algorithm?
Answer: For arbitrary numbers 548, 401, 359, 992 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.