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 7712, 4813 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7712, 4813 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 7712, 4813 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 7712, 4813 is 1.
HCF(7712, 4813) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7712, 4813 is 1.
Step 1: Since 7712 > 4813, we apply the division lemma to 7712 and 4813, to get
7712 = 4813 x 1 + 2899
Step 2: Since the reminder 4813 ≠ 0, we apply division lemma to 2899 and 4813, to get
4813 = 2899 x 1 + 1914
Step 3: We consider the new divisor 2899 and the new remainder 1914, and apply the division lemma to get
2899 = 1914 x 1 + 985
We consider the new divisor 1914 and the new remainder 985,and apply the division lemma to get
1914 = 985 x 1 + 929
We consider the new divisor 985 and the new remainder 929,and apply the division lemma to get
985 = 929 x 1 + 56
We consider the new divisor 929 and the new remainder 56,and apply the division lemma to get
929 = 56 x 16 + 33
We consider the new divisor 56 and the new remainder 33,and apply the division lemma to get
56 = 33 x 1 + 23
We consider the new divisor 33 and the new remainder 23,and apply the division lemma to get
33 = 23 x 1 + 10
We consider the new divisor 23 and the new remainder 10,and apply the division lemma to get
23 = 10 x 2 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7712 and 4813 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(23,10) = HCF(33,23) = HCF(56,33) = HCF(929,56) = HCF(985,929) = HCF(1914,985) = HCF(2899,1914) = HCF(4813,2899) = HCF(7712,4813) .
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 7712, 4813?
Answer: HCF of 7712, 4813 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7712, 4813 using Euclid's Algorithm?
Answer: For arbitrary numbers 7712, 4813 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.