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 7267, 5915 i.e. 169 the largest integer that leaves a remainder zero for all numbers.
HCF of 7267, 5915 is 169 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 7267, 5915 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 7267, 5915 is 169.
HCF(7267, 5915) = 169
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7267, 5915 is 169.
Step 1: Since 7267 > 5915, we apply the division lemma to 7267 and 5915, to get
7267 = 5915 x 1 + 1352
Step 2: Since the reminder 5915 ≠ 0, we apply division lemma to 1352 and 5915, to get
5915 = 1352 x 4 + 507
Step 3: We consider the new divisor 1352 and the new remainder 507, and apply the division lemma to get
1352 = 507 x 2 + 338
We consider the new divisor 507 and the new remainder 338,and apply the division lemma to get
507 = 338 x 1 + 169
We consider the new divisor 338 and the new remainder 169,and apply the division lemma to get
338 = 169 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 169, the HCF of 7267 and 5915 is 169
Notice that 169 = HCF(338,169) = HCF(507,338) = HCF(1352,507) = HCF(5915,1352) = HCF(7267,5915) .
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 7267, 5915?
Answer: HCF of 7267, 5915 is 169 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7267, 5915 using Euclid's Algorithm?
Answer: For arbitrary numbers 7267, 5915 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.