Highest Common Factor of 991, 6378 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 991, 6378 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 991, 6378 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 991, 6378 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 991, 6378 is 1.
HCF(991, 6378) = 1
HCF of 991, 6378 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 991, 6378 is 1.
Highest Common Factor of 991,6378 is 1
Step 1: Since 6378 > 991, we apply the division lemma to 6378 and 991, to get
6378 = 991 x 6 + 432
Step 2: Since the reminder 991 ≠ 0, we apply division lemma to 432 and 991, to get
991 = 432 x 2 + 127
Step 3: We consider the new divisor 432 and the new remainder 127, and apply the division lemma to get
432 = 127 x 3 + 51
We consider the new divisor 127 and the new remainder 51,and apply the division lemma to get
127 = 51 x 2 + 25
We consider the new divisor 51 and the new remainder 25,and apply the division lemma to get
51 = 25 x 2 + 1
We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 991 and 6378 is 1
Notice that 1 = HCF(25,1) = HCF(51,25) = HCF(127,51) = HCF(432,127) = HCF(991,432) = HCF(6378,991) .
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Frequently Asked Questions on HCF of 991, 6378 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 991, 6378?
Answer: HCF of 991, 6378 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 991, 6378 using Euclid's Algorithm?
Answer: For arbitrary numbers 991, 6378 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
