Highest Common Factor of 8195, 6947 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 8195, 6947 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8195, 6947 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 8195, 6947 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 8195, 6947 is 1.
HCF(8195, 6947) = 1
HCF of 8195, 6947 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8195, 6947 is 1.
Highest Common Factor of 8195,6947 is 1
Step 1: Since 8195 > 6947, we apply the division lemma to 8195 and 6947, to get
8195 = 6947 x 1 + 1248
Step 2: Since the reminder 6947 ≠ 0, we apply division lemma to 1248 and 6947, to get
6947 = 1248 x 5 + 707
Step 3: We consider the new divisor 1248 and the new remainder 707, and apply the division lemma to get
1248 = 707 x 1 + 541
We consider the new divisor 707 and the new remainder 541,and apply the division lemma to get
707 = 541 x 1 + 166
We consider the new divisor 541 and the new remainder 166,and apply the division lemma to get
541 = 166 x 3 + 43
We consider the new divisor 166 and the new remainder 43,and apply the division lemma to get
166 = 43 x 3 + 37
We consider the new divisor 43 and the new remainder 37,and apply the division lemma to get
43 = 37 x 1 + 6
We consider the new divisor 37 and the new remainder 6,and apply the division lemma to get
37 = 6 x 6 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8195 and 6947 is 1
Notice that 1 = HCF(6,1) = HCF(37,6) = HCF(43,37) = HCF(166,43) = HCF(541,166) = HCF(707,541) = HCF(1248,707) = HCF(6947,1248) = HCF(8195,6947) .
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Frequently Asked Questions on HCF of 8195, 6947 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 8195, 6947?
Answer: HCF of 8195, 6947 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8195, 6947 using Euclid's Algorithm?
Answer: For arbitrary numbers 8195, 6947 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
