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 7151, 5335 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7151, 5335 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 7151, 5335 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 7151, 5335 is 1.
HCF(7151, 5335) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7151, 5335 is 1.
Step 1: Since 7151 > 5335, we apply the division lemma to 7151 and 5335, to get
7151 = 5335 x 1 + 1816
Step 2: Since the reminder 5335 ≠ 0, we apply division lemma to 1816 and 5335, to get
5335 = 1816 x 2 + 1703
Step 3: We consider the new divisor 1816 and the new remainder 1703, and apply the division lemma to get
1816 = 1703 x 1 + 113
We consider the new divisor 1703 and the new remainder 113,and apply the division lemma to get
1703 = 113 x 15 + 8
We consider the new divisor 113 and the new remainder 8,and apply the division lemma to get
113 = 8 x 14 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7151 and 5335 is 1
Notice that 1 = HCF(8,1) = HCF(113,8) = HCF(1703,113) = HCF(1816,1703) = HCF(5335,1816) = HCF(7151,5335) .
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 7151, 5335?
Answer: HCF of 7151, 5335 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7151, 5335 using Euclid's Algorithm?
Answer: For arbitrary numbers 7151, 5335 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.