Highest Common Factor of 6850, 2927 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 6850, 2927 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6850, 2927 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 6850, 2927 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 6850, 2927 is 1.
HCF(6850, 2927) = 1
HCF of 6850, 2927 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6850, 2927 is 1.
Highest Common Factor of 6850,2927 is 1
Step 1: Since 6850 > 2927, we apply the division lemma to 6850 and 2927, to get
6850 = 2927 x 2 + 996
Step 2: Since the reminder 2927 ≠ 0, we apply division lemma to 996 and 2927, to get
2927 = 996 x 2 + 935
Step 3: We consider the new divisor 996 and the new remainder 935, and apply the division lemma to get
996 = 935 x 1 + 61
We consider the new divisor 935 and the new remainder 61,and apply the division lemma to get
935 = 61 x 15 + 20
We consider the new divisor 61 and the new remainder 20,and apply the division lemma to get
61 = 20 x 3 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6850 and 2927 is 1
Notice that 1 = HCF(20,1) = HCF(61,20) = HCF(935,61) = HCF(996,935) = HCF(2927,996) = HCF(6850,2927) .
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Frequently Asked Questions on HCF of 6850, 2927 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 6850, 2927?
Answer: HCF of 6850, 2927 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6850, 2927 using Euclid's Algorithm?
Answer: For arbitrary numbers 6850, 2927 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.