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 7598, 2908 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7598, 2908 is 2 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 7598, 2908 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 7598, 2908 is 2.
HCF(7598, 2908) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7598, 2908 is 2.
Step 1: Since 7598 > 2908, we apply the division lemma to 7598 and 2908, to get
7598 = 2908 x 2 + 1782
Step 2: Since the reminder 2908 ≠ 0, we apply division lemma to 1782 and 2908, to get
2908 = 1782 x 1 + 1126
Step 3: We consider the new divisor 1782 and the new remainder 1126, and apply the division lemma to get
1782 = 1126 x 1 + 656
We consider the new divisor 1126 and the new remainder 656,and apply the division lemma to get
1126 = 656 x 1 + 470
We consider the new divisor 656 and the new remainder 470,and apply the division lemma to get
656 = 470 x 1 + 186
We consider the new divisor 470 and the new remainder 186,and apply the division lemma to get
470 = 186 x 2 + 98
We consider the new divisor 186 and the new remainder 98,and apply the division lemma to get
186 = 98 x 1 + 88
We consider the new divisor 98 and the new remainder 88,and apply the division lemma to get
98 = 88 x 1 + 10
We consider the new divisor 88 and the new remainder 10,and apply the division lemma to get
88 = 10 x 8 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7598 and 2908 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(88,10) = HCF(98,88) = HCF(186,98) = HCF(470,186) = HCF(656,470) = HCF(1126,656) = HCF(1782,1126) = HCF(2908,1782) = HCF(7598,2908) .
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 7598, 2908?
Answer: HCF of 7598, 2908 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7598, 2908 using Euclid's Algorithm?
Answer: For arbitrary numbers 7598, 2908 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.