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 7515, 4160 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 7515, 4160 is 5 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 7515, 4160 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 7515, 4160 is 5.
HCF(7515, 4160) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7515, 4160 is 5.
Step 1: Since 7515 > 4160, we apply the division lemma to 7515 and 4160, to get
7515 = 4160 x 1 + 3355
Step 2: Since the reminder 4160 ≠ 0, we apply division lemma to 3355 and 4160, to get
4160 = 3355 x 1 + 805
Step 3: We consider the new divisor 3355 and the new remainder 805, and apply the division lemma to get
3355 = 805 x 4 + 135
We consider the new divisor 805 and the new remainder 135,and apply the division lemma to get
805 = 135 x 5 + 130
We consider the new divisor 135 and the new remainder 130,and apply the division lemma to get
135 = 130 x 1 + 5
We consider the new divisor 130 and the new remainder 5,and apply the division lemma to get
130 = 5 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 7515 and 4160 is 5
Notice that 5 = HCF(130,5) = HCF(135,130) = HCF(805,135) = HCF(3355,805) = HCF(4160,3355) = HCF(7515,4160) .
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 7515, 4160?
Answer: HCF of 7515, 4160 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7515, 4160 using Euclid's Algorithm?
Answer: For arbitrary numbers 7515, 4160 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.