Highest Common Factor of 878, 45521 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 878, 45521 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 878, 45521 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 878, 45521 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 878, 45521 is 1.
HCF(878, 45521) = 1
HCF of 878, 45521 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 878, 45521 is 1.
Highest Common Factor of 878,45521 is 1
Step 1: Since 45521 > 878, we apply the division lemma to 45521 and 878, to get
45521 = 878 x 51 + 743
Step 2: Since the reminder 878 ≠ 0, we apply division lemma to 743 and 878, to get
878 = 743 x 1 + 135
Step 3: We consider the new divisor 743 and the new remainder 135, and apply the division lemma to get
743 = 135 x 5 + 68
We consider the new divisor 135 and the new remainder 68,and apply the division lemma to get
135 = 68 x 1 + 67
We consider the new divisor 68 and the new remainder 67,and apply the division lemma to get
68 = 67 x 1 + 1
We consider the new divisor 67 and the new remainder 1,and apply the division lemma to get
67 = 1 x 67 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 878 and 45521 is 1
Notice that 1 = HCF(67,1) = HCF(68,67) = HCF(135,68) = HCF(743,135) = HCF(878,743) = HCF(45521,878) .
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Frequently Asked Questions on HCF of 878, 45521 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 878, 45521?
Answer: HCF of 878, 45521 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 878, 45521 using Euclid's Algorithm?
Answer: For arbitrary numbers 878, 45521 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.