Highest Common Factor of 7141, 8390 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 7141, 8390 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7141, 8390 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 7141, 8390 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 7141, 8390 is 1.
HCF(7141, 8390) = 1
HCF of 7141, 8390 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7141, 8390 is 1.
Highest Common Factor of 7141,8390 is 1
Step 1: Since 8390 > 7141, we apply the division lemma to 8390 and 7141, to get
8390 = 7141 x 1 + 1249
Step 2: Since the reminder 7141 ≠ 0, we apply division lemma to 1249 and 7141, to get
7141 = 1249 x 5 + 896
Step 3: We consider the new divisor 1249 and the new remainder 896, and apply the division lemma to get
1249 = 896 x 1 + 353
We consider the new divisor 896 and the new remainder 353,and apply the division lemma to get
896 = 353 x 2 + 190
We consider the new divisor 353 and the new remainder 190,and apply the division lemma to get
353 = 190 x 1 + 163
We consider the new divisor 190 and the new remainder 163,and apply the division lemma to get
190 = 163 x 1 + 27
We consider the new divisor 163 and the new remainder 27,and apply the division lemma to get
163 = 27 x 6 + 1
We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7141 and 8390 is 1
Notice that 1 = HCF(27,1) = HCF(163,27) = HCF(190,163) = HCF(353,190) = HCF(896,353) = HCF(1249,896) = HCF(7141,1249) = HCF(8390,7141) .
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Frequently Asked Questions on HCF of 7141, 8390 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 7141, 8390?
Answer: HCF of 7141, 8390 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7141, 8390 using Euclid's Algorithm?
Answer: For arbitrary numbers 7141, 8390 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.