Highest Common Factor of 6548, 1133 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 6548, 1133 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6548, 1133 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 6548, 1133 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 6548, 1133 is 1.
HCF(6548, 1133) = 1
HCF of 6548, 1133 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6548, 1133 is 1.
Highest Common Factor of 6548,1133 is 1
Step 1: Since 6548 > 1133, we apply the division lemma to 6548 and 1133, to get
6548 = 1133 x 5 + 883
Step 2: Since the reminder 1133 ≠ 0, we apply division lemma to 883 and 1133, to get
1133 = 883 x 1 + 250
Step 3: We consider the new divisor 883 and the new remainder 250, and apply the division lemma to get
883 = 250 x 3 + 133
We consider the new divisor 250 and the new remainder 133,and apply the division lemma to get
250 = 133 x 1 + 117
We consider the new divisor 133 and the new remainder 117,and apply the division lemma to get
133 = 117 x 1 + 16
We consider the new divisor 117 and the new remainder 16,and apply the division lemma to get
117 = 16 x 7 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 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 6548 and 1133 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(117,16) = HCF(133,117) = HCF(250,133) = HCF(883,250) = HCF(1133,883) = HCF(6548,1133) .
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Frequently Asked Questions on HCF of 6548, 1133 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 6548, 1133?
Answer: HCF of 6548, 1133 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6548, 1133 using Euclid's Algorithm?
Answer: For arbitrary numbers 6548, 1133 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.