Highest Common Factor of 263, 748, 406, 553 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 263, 748, 406, 553 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 263, 748, 406, 553 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 263, 748, 406, 553 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 263, 748, 406, 553 is 1.
HCF(263, 748, 406, 553) = 1
HCF of 263, 748, 406, 553 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 263, 748, 406, 553 is 1.
Highest Common Factor of 263,748,406,553 is 1
Step 1: Since 748 > 263, we apply the division lemma to 748 and 263, to get
748 = 263 x 2 + 222
Step 2: Since the reminder 263 ≠ 0, we apply division lemma to 222 and 263, to get
263 = 222 x 1 + 41
Step 3: We consider the new divisor 222 and the new remainder 41, and apply the division lemma to get
222 = 41 x 5 + 17
We consider the new divisor 41 and the new remainder 17,and apply the division lemma to get
41 = 17 x 2 + 7
We consider the new divisor 17 and the new remainder 7,and apply the division lemma to get
17 = 7 x 2 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 263 and 748 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(17,7) = HCF(41,17) = HCF(222,41) = HCF(263,222) = HCF(748,263) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 406 > 1, we apply the division lemma to 406 and 1, to get
406 = 1 x 406 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 406 is 1
Notice that 1 = HCF(406,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 553 > 1, we apply the division lemma to 553 and 1, to get
553 = 1 x 553 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 553 is 1
Notice that 1 = HCF(553,1) .
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Frequently Asked Questions on HCF of 263, 748, 406, 553 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 263, 748, 406, 553?
Answer: HCF of 263, 748, 406, 553 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 263, 748, 406, 553 using Euclid's Algorithm?
Answer: For arbitrary numbers 263, 748, 406, 553 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.