Highest Common Factor of 7969, 1381 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 7969, 1381 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7969, 1381 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 7969, 1381 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 7969, 1381 is 1.
HCF(7969, 1381) = 1
HCF of 7969, 1381 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7969, 1381 is 1.
Highest Common Factor of 7969,1381 is 1
Step 1: Since 7969 > 1381, we apply the division lemma to 7969 and 1381, to get
7969 = 1381 x 5 + 1064
Step 2: Since the reminder 1381 ≠ 0, we apply division lemma to 1064 and 1381, to get
1381 = 1064 x 1 + 317
Step 3: We consider the new divisor 1064 and the new remainder 317, and apply the division lemma to get
1064 = 317 x 3 + 113
We consider the new divisor 317 and the new remainder 113,and apply the division lemma to get
317 = 113 x 2 + 91
We consider the new divisor 113 and the new remainder 91,and apply the division lemma to get
113 = 91 x 1 + 22
We consider the new divisor 91 and the new remainder 22,and apply the division lemma to get
91 = 22 x 4 + 3
We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get
22 = 3 x 7 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7969 and 1381 is 1
Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(91,22) = HCF(113,91) = HCF(317,113) = HCF(1064,317) = HCF(1381,1064) = HCF(7969,1381) .
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Frequently Asked Questions on HCF of 7969, 1381 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 7969, 1381?
Answer: HCF of 7969, 1381 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7969, 1381 using Euclid's Algorithm?
Answer: For arbitrary numbers 7969, 1381 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.