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 9268, 7513 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9268, 7513 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 9268, 7513 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 9268, 7513 is 1.
HCF(9268, 7513) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9268, 7513 is 1.
Step 1: Since 9268 > 7513, we apply the division lemma to 9268 and 7513, to get
9268 = 7513 x 1 + 1755
Step 2: Since the reminder 7513 ≠ 0, we apply division lemma to 1755 and 7513, to get
7513 = 1755 x 4 + 493
Step 3: We consider the new divisor 1755 and the new remainder 493, and apply the division lemma to get
1755 = 493 x 3 + 276
We consider the new divisor 493 and the new remainder 276,and apply the division lemma to get
493 = 276 x 1 + 217
We consider the new divisor 276 and the new remainder 217,and apply the division lemma to get
276 = 217 x 1 + 59
We consider the new divisor 217 and the new remainder 59,and apply the division lemma to get
217 = 59 x 3 + 40
We consider the new divisor 59 and the new remainder 40,and apply the division lemma to get
59 = 40 x 1 + 19
We consider the new divisor 40 and the new remainder 19,and apply the division lemma to get
40 = 19 x 2 + 2
We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get
19 = 2 x 9 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9268 and 7513 is 1
Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(40,19) = HCF(59,40) = HCF(217,59) = HCF(276,217) = HCF(493,276) = HCF(1755,493) = HCF(7513,1755) = HCF(9268,7513) .
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 9268, 7513?
Answer: HCF of 9268, 7513 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9268, 7513 using Euclid's Algorithm?
Answer: For arbitrary numbers 9268, 7513 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.