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 7171, 5083 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7171, 5083 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 7171, 5083 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 7171, 5083 is 1.
HCF(7171, 5083) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7171, 5083 is 1.
Step 1: Since 7171 > 5083, we apply the division lemma to 7171 and 5083, to get
7171 = 5083 x 1 + 2088
Step 2: Since the reminder 5083 ≠ 0, we apply division lemma to 2088 and 5083, to get
5083 = 2088 x 2 + 907
Step 3: We consider the new divisor 2088 and the new remainder 907, and apply the division lemma to get
2088 = 907 x 2 + 274
We consider the new divisor 907 and the new remainder 274,and apply the division lemma to get
907 = 274 x 3 + 85
We consider the new divisor 274 and the new remainder 85,and apply the division lemma to get
274 = 85 x 3 + 19
We consider the new divisor 85 and the new remainder 19,and apply the division lemma to get
85 = 19 x 4 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7171 and 5083 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(85,19) = HCF(274,85) = HCF(907,274) = HCF(2088,907) = HCF(5083,2088) = HCF(7171,5083) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 7171, 5083?
Answer: HCF of 7171, 5083 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7171, 5083 using Euclid's Algorithm?
Answer: For arbitrary numbers 7171, 5083 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.