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 5262, 7648 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5262, 7648 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 5262, 7648 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 5262, 7648 is 2.
HCF(5262, 7648) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5262, 7648 is 2.
Step 1: Since 7648 > 5262, we apply the division lemma to 7648 and 5262, to get
7648 = 5262 x 1 + 2386
Step 2: Since the reminder 5262 ≠ 0, we apply division lemma to 2386 and 5262, to get
5262 = 2386 x 2 + 490
Step 3: We consider the new divisor 2386 and the new remainder 490, and apply the division lemma to get
2386 = 490 x 4 + 426
We consider the new divisor 490 and the new remainder 426,and apply the division lemma to get
490 = 426 x 1 + 64
We consider the new divisor 426 and the new remainder 64,and apply the division lemma to get
426 = 64 x 6 + 42
We consider the new divisor 64 and the new remainder 42,and apply the division lemma to get
64 = 42 x 1 + 22
We consider the new divisor 42 and the new remainder 22,and apply the division lemma to get
42 = 22 x 1 + 20
We consider the new divisor 22 and the new remainder 20,and apply the division lemma to get
22 = 20 x 1 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5262 and 7648 is 2
Notice that 2 = HCF(20,2) = HCF(22,20) = HCF(42,22) = HCF(64,42) = HCF(426,64) = HCF(490,426) = HCF(2386,490) = HCF(5262,2386) = HCF(7648,5262) .
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 5262, 7648?
Answer: HCF of 5262, 7648 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5262, 7648 using Euclid's Algorithm?
Answer: For arbitrary numbers 5262, 7648 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.