Highest Common Factor of 903, 548, 550, 533 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 903, 548, 550, 533 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 903, 548, 550, 533 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 903, 548, 550, 533 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 903, 548, 550, 533 is 1.
HCF(903, 548, 550, 533) = 1
HCF of 903, 548, 550, 533 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 903, 548, 550, 533 is 1.
Highest Common Factor of 903,548,550,533 is 1
Step 1: Since 903 > 548, we apply the division lemma to 903 and 548, to get
903 = 548 x 1 + 355
Step 2: Since the reminder 548 ≠ 0, we apply division lemma to 355 and 548, to get
548 = 355 x 1 + 193
Step 3: We consider the new divisor 355 and the new remainder 193, and apply the division lemma to get
355 = 193 x 1 + 162
We consider the new divisor 193 and the new remainder 162,and apply the division lemma to get
193 = 162 x 1 + 31
We consider the new divisor 162 and the new remainder 31,and apply the division lemma to get
162 = 31 x 5 + 7
We consider the new divisor 31 and the new remainder 7,and apply the division lemma to get
31 = 7 x 4 + 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 903 and 548 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(31,7) = HCF(162,31) = HCF(193,162) = HCF(355,193) = HCF(548,355) = HCF(903,548) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 550 > 1, we apply the division lemma to 550 and 1, to get
550 = 1 x 550 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 550 is 1
Notice that 1 = HCF(550,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 533 > 1, we apply the division lemma to 533 and 1, to get
533 = 1 x 533 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 533 is 1
Notice that 1 = HCF(533,1) .
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Frequently Asked Questions on HCF of 903, 548, 550, 533 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 903, 548, 550, 533?
Answer: HCF of 903, 548, 550, 533 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 903, 548, 550, 533 using Euclid's Algorithm?
Answer: For arbitrary numbers 903, 548, 550, 533 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.