Highest Common Factor of 854, 365, 760, 513 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 854, 365, 760, 513 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 854, 365, 760, 513 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 854, 365, 760, 513 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 854, 365, 760, 513 is 1.
HCF(854, 365, 760, 513) = 1
HCF of 854, 365, 760, 513 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 854, 365, 760, 513 is 1.
Highest Common Factor of 854,365,760,513 is 1
Step 1: Since 854 > 365, we apply the division lemma to 854 and 365, to get
854 = 365 x 2 + 124
Step 2: Since the reminder 365 ≠ 0, we apply division lemma to 124 and 365, to get
365 = 124 x 2 + 117
Step 3: We consider the new divisor 124 and the new remainder 117, and apply the division lemma to get
124 = 117 x 1 + 7
We consider the new divisor 117 and the new remainder 7,and apply the division lemma to get
117 = 7 x 16 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 854 and 365 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(117,7) = HCF(124,117) = HCF(365,124) = HCF(854,365) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 760 > 1, we apply the division lemma to 760 and 1, to get
760 = 1 x 760 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 760 is 1
Notice that 1 = HCF(760,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 513 > 1, we apply the division lemma to 513 and 1, to get
513 = 1 x 513 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 513 is 1
Notice that 1 = HCF(513,1) .
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Frequently Asked Questions on HCF of 854, 365, 760, 513 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 854, 365, 760, 513?
Answer: HCF of 854, 365, 760, 513 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 854, 365, 760, 513 using Euclid's Algorithm?
Answer: For arbitrary numbers 854, 365, 760, 513 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.