Highest Common Factor of 532, 845, 516, 325 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 532, 845, 516, 325 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 532, 845, 516, 325 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 532, 845, 516, 325 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 532, 845, 516, 325 is 1.
HCF(532, 845, 516, 325) = 1
HCF of 532, 845, 516, 325 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 532, 845, 516, 325 is 1.
Highest Common Factor of 532,845,516,325 is 1
Step 1: Since 845 > 532, we apply the division lemma to 845 and 532, to get
845 = 532 x 1 + 313
Step 2: Since the reminder 532 ≠ 0, we apply division lemma to 313 and 532, to get
532 = 313 x 1 + 219
Step 3: We consider the new divisor 313 and the new remainder 219, and apply the division lemma to get
313 = 219 x 1 + 94
We consider the new divisor 219 and the new remainder 94,and apply the division lemma to get
219 = 94 x 2 + 31
We consider the new divisor 94 and the new remainder 31,and apply the division lemma to get
94 = 31 x 3 + 1
We consider the new divisor 31 and the new remainder 1,and apply the division lemma to get
31 = 1 x 31 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 532 and 845 is 1
Notice that 1 = HCF(31,1) = HCF(94,31) = HCF(219,94) = HCF(313,219) = HCF(532,313) = HCF(845,532) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 516 > 1, we apply the division lemma to 516 and 1, to get
516 = 1 x 516 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 516 is 1
Notice that 1 = HCF(516,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 325 > 1, we apply the division lemma to 325 and 1, to get
325 = 1 x 325 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 325 is 1
Notice that 1 = HCF(325,1) .
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Frequently Asked Questions on HCF of 532, 845, 516, 325 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 532, 845, 516, 325?
Answer: HCF of 532, 845, 516, 325 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 532, 845, 516, 325 using Euclid's Algorithm?
Answer: For arbitrary numbers 532, 845, 516, 325 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.