Highest Common Factor of 8715, 8279, 54074 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 8715, 8279, 54074 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8715, 8279, 54074 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 8715, 8279, 54074 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 8715, 8279, 54074 is 1.
HCF(8715, 8279, 54074) = 1
HCF of 8715, 8279, 54074 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8715, 8279, 54074 is 1.
Highest Common Factor of 8715,8279,54074 is 1
Step 1: Since 8715 > 8279, we apply the division lemma to 8715 and 8279, to get
8715 = 8279 x 1 + 436
Step 2: Since the reminder 8279 ≠ 0, we apply division lemma to 436 and 8279, to get
8279 = 436 x 18 + 431
Step 3: We consider the new divisor 436 and the new remainder 431, and apply the division lemma to get
436 = 431 x 1 + 5
We consider the new divisor 431 and the new remainder 5,and apply the division lemma to get
431 = 5 x 86 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8715 and 8279 is 1
Notice that 1 = HCF(5,1) = HCF(431,5) = HCF(436,431) = HCF(8279,436) = HCF(8715,8279) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 54074 > 1, we apply the division lemma to 54074 and 1, to get
54074 = 1 x 54074 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 54074 is 1
Notice that 1 = HCF(54074,1) .
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Frequently Asked Questions on HCF of 8715, 8279, 54074 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 8715, 8279, 54074?
Answer: HCF of 8715, 8279, 54074 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8715, 8279, 54074 using Euclid's Algorithm?
Answer: For arbitrary numbers 8715, 8279, 54074 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.