Highest Common Factor of 877, 329, 456 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 877, 329, 456 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 877, 329, 456 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 877, 329, 456 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 877, 329, 456 is 1.
HCF(877, 329, 456) = 1
HCF of 877, 329, 456 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 877, 329, 456 is 1.
Highest Common Factor of 877,329,456 is 1
Step 1: Since 877 > 329, we apply the division lemma to 877 and 329, to get
877 = 329 x 2 + 219
Step 2: Since the reminder 329 ≠ 0, we apply division lemma to 219 and 329, to get
329 = 219 x 1 + 110
Step 3: We consider the new divisor 219 and the new remainder 110, and apply the division lemma to get
219 = 110 x 1 + 109
We consider the new divisor 110 and the new remainder 109,and apply the division lemma to get
110 = 109 x 1 + 1
We consider the new divisor 109 and the new remainder 1,and apply the division lemma to get
109 = 1 x 109 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 877 and 329 is 1
Notice that 1 = HCF(109,1) = HCF(110,109) = HCF(219,110) = HCF(329,219) = HCF(877,329) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 456 > 1, we apply the division lemma to 456 and 1, to get
456 = 1 x 456 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 456 is 1
Notice that 1 = HCF(456,1) .
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Frequently Asked Questions on HCF of 877, 329, 456 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 877, 329, 456?
Answer: HCF of 877, 329, 456 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 877, 329, 456 using Euclid's Algorithm?
Answer: For arbitrary numbers 877, 329, 456 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.