Highest Common Factor of 7177, 3952 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 7177, 3952 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7177, 3952 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 7177, 3952 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 7177, 3952 is 1.
HCF(7177, 3952) = 1
HCF of 7177, 3952 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7177, 3952 is 1.
Highest Common Factor of 7177,3952 is 1
Step 1: Since 7177 > 3952, we apply the division lemma to 7177 and 3952, to get
7177 = 3952 x 1 + 3225
Step 2: Since the reminder 3952 ≠ 0, we apply division lemma to 3225 and 3952, to get
3952 = 3225 x 1 + 727
Step 3: We consider the new divisor 3225 and the new remainder 727, and apply the division lemma to get
3225 = 727 x 4 + 317
We consider the new divisor 727 and the new remainder 317,and apply the division lemma to get
727 = 317 x 2 + 93
We consider the new divisor 317 and the new remainder 93,and apply the division lemma to get
317 = 93 x 3 + 38
We consider the new divisor 93 and the new remainder 38,and apply the division lemma to get
93 = 38 x 2 + 17
We consider the new divisor 38 and the new remainder 17,and apply the division lemma to get
38 = 17 x 2 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7177 and 3952 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(38,17) = HCF(93,38) = HCF(317,93) = HCF(727,317) = HCF(3225,727) = HCF(3952,3225) = HCF(7177,3952) .
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Frequently Asked Questions on HCF of 7177, 3952 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 7177, 3952?
Answer: HCF of 7177, 3952 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7177, 3952 using Euclid's Algorithm?
Answer: For arbitrary numbers 7177, 3952 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.