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 7858, 4590 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7858, 4590 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 7858, 4590 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 7858, 4590 is 2.
HCF(7858, 4590) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7858, 4590 is 2.
Step 1: Since 7858 > 4590, we apply the division lemma to 7858 and 4590, to get
7858 = 4590 x 1 + 3268
Step 2: Since the reminder 4590 ≠ 0, we apply division lemma to 3268 and 4590, to get
4590 = 3268 x 1 + 1322
Step 3: We consider the new divisor 3268 and the new remainder 1322, and apply the division lemma to get
3268 = 1322 x 2 + 624
We consider the new divisor 1322 and the new remainder 624,and apply the division lemma to get
1322 = 624 x 2 + 74
We consider the new divisor 624 and the new remainder 74,and apply the division lemma to get
624 = 74 x 8 + 32
We consider the new divisor 74 and the new remainder 32,and apply the division lemma to get
74 = 32 x 2 + 10
We consider the new divisor 32 and the new remainder 10,and apply the division lemma to get
32 = 10 x 3 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7858 and 4590 is 2
Notice that 2 = HCF(10,2) = HCF(32,10) = HCF(74,32) = HCF(624,74) = HCF(1322,624) = HCF(3268,1322) = HCF(4590,3268) = HCF(7858,4590) .
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 7858, 4590?
Answer: HCF of 7858, 4590 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7858, 4590 using Euclid's Algorithm?
Answer: For arbitrary numbers 7858, 4590 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.