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 7177, 4267 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7177, 4267 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 7177, 4267 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 7177, 4267 is 1.
HCF(7177, 4267) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7177, 4267 is 1.
Step 1: Since 7177 > 4267, we apply the division lemma to 7177 and 4267, to get
7177 = 4267 x 1 + 2910
Step 2: Since the reminder 4267 ≠ 0, we apply division lemma to 2910 and 4267, to get
4267 = 2910 x 1 + 1357
Step 3: We consider the new divisor 2910 and the new remainder 1357, and apply the division lemma to get
2910 = 1357 x 2 + 196
We consider the new divisor 1357 and the new remainder 196,and apply the division lemma to get
1357 = 196 x 6 + 181
We consider the new divisor 196 and the new remainder 181,and apply the division lemma to get
196 = 181 x 1 + 15
We consider the new divisor 181 and the new remainder 15,and apply the division lemma to get
181 = 15 x 12 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7177 and 4267 is 1
Notice that 1 = HCF(15,1) = HCF(181,15) = HCF(196,181) = HCF(1357,196) = HCF(2910,1357) = HCF(4267,2910) = HCF(7177,4267) .
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 7177, 4267?
Answer: HCF of 7177, 4267 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7177, 4267 using Euclid's Algorithm?
Answer: For arbitrary numbers 7177, 4267 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.