Highest Common Factor of 957, 7313, 7898 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 957, 7313, 7898 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 957, 7313, 7898 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 957, 7313, 7898 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 957, 7313, 7898 is 1.
HCF(957, 7313, 7898) = 1
HCF of 957, 7313, 7898 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 957, 7313, 7898 is 1.
Highest Common Factor of 957,7313,7898 is 1
Step 1: Since 7313 > 957, we apply the division lemma to 7313 and 957, to get
7313 = 957 x 7 + 614
Step 2: Since the reminder 957 ≠ 0, we apply division lemma to 614 and 957, to get
957 = 614 x 1 + 343
Step 3: We consider the new divisor 614 and the new remainder 343, and apply the division lemma to get
614 = 343 x 1 + 271
We consider the new divisor 343 and the new remainder 271,and apply the division lemma to get
343 = 271 x 1 + 72
We consider the new divisor 271 and the new remainder 72,and apply the division lemma to get
271 = 72 x 3 + 55
We consider the new divisor 72 and the new remainder 55,and apply the division lemma to get
72 = 55 x 1 + 17
We consider the new divisor 55 and the new remainder 17,and apply the division lemma to get
55 = 17 x 3 + 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 957 and 7313 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(55,17) = HCF(72,55) = HCF(271,72) = HCF(343,271) = HCF(614,343) = HCF(957,614) = HCF(7313,957) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 7898 > 1, we apply the division lemma to 7898 and 1, to get
7898 = 1 x 7898 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 7898 is 1
Notice that 1 = HCF(7898,1) .
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Frequently Asked Questions on HCF of 957, 7313, 7898 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 957, 7313, 7898?
Answer: HCF of 957, 7313, 7898 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 957, 7313, 7898 using Euclid's Algorithm?
Answer: For arbitrary numbers 957, 7313, 7898 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
