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 7176, 1256 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 7176, 1256 is 8 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 7176, 1256 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 7176, 1256 is 8.
HCF(7176, 1256) = 8
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7176, 1256 is 8.
Step 1: Since 7176 > 1256, we apply the division lemma to 7176 and 1256, to get
7176 = 1256 x 5 + 896
Step 2: Since the reminder 1256 ≠ 0, we apply division lemma to 896 and 1256, to get
1256 = 896 x 1 + 360
Step 3: We consider the new divisor 896 and the new remainder 360, and apply the division lemma to get
896 = 360 x 2 + 176
We consider the new divisor 360 and the new remainder 176,and apply the division lemma to get
360 = 176 x 2 + 8
We consider the new divisor 176 and the new remainder 8,and apply the division lemma to get
176 = 8 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 7176 and 1256 is 8
Notice that 8 = HCF(176,8) = HCF(360,176) = HCF(896,360) = HCF(1256,896) = HCF(7176,1256) .
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 7176, 1256?
Answer: HCF of 7176, 1256 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7176, 1256 using Euclid's Algorithm?
Answer: For arbitrary numbers 7176, 1256 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.