Highest Common Factor of 325, 209, 816, 77 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 325, 209, 816, 77 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 325, 209, 816, 77 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 325, 209, 816, 77 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 325, 209, 816, 77 is 1.
HCF(325, 209, 816, 77) = 1
HCF of 325, 209, 816, 77 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 325, 209, 816, 77 is 1.
Highest Common Factor of 325,209,816,77 is 1
Step 1: Since 325 > 209, we apply the division lemma to 325 and 209, to get
325 = 209 x 1 + 116
Step 2: Since the reminder 209 ≠ 0, we apply division lemma to 116 and 209, to get
209 = 116 x 1 + 93
Step 3: We consider the new divisor 116 and the new remainder 93, and apply the division lemma to get
116 = 93 x 1 + 23
We consider the new divisor 93 and the new remainder 23,and apply the division lemma to get
93 = 23 x 4 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 325 and 209 is 1
Notice that 1 = HCF(23,1) = HCF(93,23) = HCF(116,93) = HCF(209,116) = HCF(325,209) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 816 > 1, we apply the division lemma to 816 and 1, to get
816 = 1 x 816 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 816 is 1
Notice that 1 = HCF(816,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 77 > 1, we apply the division lemma to 77 and 1, to get
77 = 1 x 77 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 77 is 1
Notice that 1 = HCF(77,1) .
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Frequently Asked Questions on HCF of 325, 209, 816, 77 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 325, 209, 816, 77?
Answer: HCF of 325, 209, 816, 77 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 325, 209, 816, 77 using Euclid's Algorithm?
Answer: For arbitrary numbers 325, 209, 816, 77 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
