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 7908, 7183 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7908, 7183 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 7908, 7183 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 7908, 7183 is 1.
HCF(7908, 7183) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7908, 7183 is 1.
Step 1: Since 7908 > 7183, we apply the division lemma to 7908 and 7183, to get
7908 = 7183 x 1 + 725
Step 2: Since the reminder 7183 ≠ 0, we apply division lemma to 725 and 7183, to get
7183 = 725 x 9 + 658
Step 3: We consider the new divisor 725 and the new remainder 658, and apply the division lemma to get
725 = 658 x 1 + 67
We consider the new divisor 658 and the new remainder 67,and apply the division lemma to get
658 = 67 x 9 + 55
We consider the new divisor 67 and the new remainder 55,and apply the division lemma to get
67 = 55 x 1 + 12
We consider the new divisor 55 and the new remainder 12,and apply the division lemma to get
55 = 12 x 4 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7908 and 7183 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(55,12) = HCF(67,55) = HCF(658,67) = HCF(725,658) = HCF(7183,725) = HCF(7908,7183) .
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 7908, 7183?
Answer: HCF of 7908, 7183 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7908, 7183 using Euclid's Algorithm?
Answer: For arbitrary numbers 7908, 7183 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.