Highest Common Factor of 7513, 4951 using Euclid's algorithm
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 7513, 4951 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7513, 4951 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 7513, 4951 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 7513, 4951 is 1.
HCF(7513, 4951) = 1
HCF of 7513, 4951 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7513, 4951 is 1.
Highest Common Factor of 7513,4951 is 1
Step 1: Since 7513 > 4951, we apply the division lemma to 7513 and 4951, to get
7513 = 4951 x 1 + 2562
Step 2: Since the reminder 4951 ≠ 0, we apply division lemma to 2562 and 4951, to get
4951 = 2562 x 1 + 2389
Step 3: We consider the new divisor 2562 and the new remainder 2389, and apply the division lemma to get
2562 = 2389 x 1 + 173
We consider the new divisor 2389 and the new remainder 173,and apply the division lemma to get
2389 = 173 x 13 + 140
We consider the new divisor 173 and the new remainder 140,and apply the division lemma to get
173 = 140 x 1 + 33
We consider the new divisor 140 and the new remainder 33,and apply the division lemma to get
140 = 33 x 4 + 8
We consider the new divisor 33 and the new remainder 8,and apply the division lemma to get
33 = 8 x 4 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7513 and 4951 is 1
Notice that 1 = HCF(8,1) = HCF(33,8) = HCF(140,33) = HCF(173,140) = HCF(2389,173) = HCF(2562,2389) = HCF(4951,2562) = HCF(7513,4951) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7513, 4951 using Euclid's Algorithm
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 7513, 4951?
Answer: HCF of 7513, 4951 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7513, 4951 using Euclid's Algorithm?
Answer: For arbitrary numbers 7513, 4951 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
