Highest Common Factor of 979, 8028, 3417 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 979, 8028, 3417 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 979, 8028, 3417 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 979, 8028, 3417 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 979, 8028, 3417 is 1.
HCF(979, 8028, 3417) = 1
HCF of 979, 8028, 3417 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 979, 8028, 3417 is 1.
Highest Common Factor of 979,8028,3417 is 1
Step 1: Since 8028 > 979, we apply the division lemma to 8028 and 979, to get
8028 = 979 x 8 + 196
Step 2: Since the reminder 979 ≠ 0, we apply division lemma to 196 and 979, to get
979 = 196 x 4 + 195
Step 3: We consider the new divisor 196 and the new remainder 195, and apply the division lemma to get
196 = 195 x 1 + 1
We consider the new divisor 195 and the new remainder 1, and apply the division lemma to get
195 = 1 x 195 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 979 and 8028 is 1
Notice that 1 = HCF(195,1) = HCF(196,195) = HCF(979,196) = HCF(8028,979) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3417 > 1, we apply the division lemma to 3417 and 1, to get
3417 = 1 x 3417 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3417 is 1
Notice that 1 = HCF(3417,1) .
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Frequently Asked Questions on HCF of 979, 8028, 3417 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 979, 8028, 3417?
Answer: HCF of 979, 8028, 3417 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 979, 8028, 3417 using Euclid's Algorithm?
Answer: For arbitrary numbers 979, 8028, 3417 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.