Highest Common Factor of 521, 8994, 6788 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 521, 8994, 6788 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 521, 8994, 6788 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 521, 8994, 6788 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 521, 8994, 6788 is 1.
HCF(521, 8994, 6788) = 1
HCF of 521, 8994, 6788 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 521, 8994, 6788 is 1.
Highest Common Factor of 521,8994,6788 is 1
Step 1: Since 8994 > 521, we apply the division lemma to 8994 and 521, to get
8994 = 521 x 17 + 137
Step 2: Since the reminder 521 ≠ 0, we apply division lemma to 137 and 521, to get
521 = 137 x 3 + 110
Step 3: We consider the new divisor 137 and the new remainder 110, and apply the division lemma to get
137 = 110 x 1 + 27
We consider the new divisor 110 and the new remainder 27,and apply the division lemma to get
110 = 27 x 4 + 2
We consider the new divisor 27 and the new remainder 2,and apply the division lemma to get
27 = 2 x 13 + 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 521 and 8994 is 1
Notice that 1 = HCF(2,1) = HCF(27,2) = HCF(110,27) = HCF(137,110) = HCF(521,137) = HCF(8994,521) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6788 > 1, we apply the division lemma to 6788 and 1, to get
6788 = 1 x 6788 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6788 is 1
Notice that 1 = HCF(6788,1) .
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Frequently Asked Questions on HCF of 521, 8994, 6788 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 521, 8994, 6788?
Answer: HCF of 521, 8994, 6788 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 521, 8994, 6788 using Euclid's Algorithm?
Answer: For arbitrary numbers 521, 8994, 6788 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.