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 7516, 9510 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7516, 9510 is 2 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 7516, 9510 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 7516, 9510 is 2.
HCF(7516, 9510) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7516, 9510 is 2.
Step 1: Since 9510 > 7516, we apply the division lemma to 9510 and 7516, to get
9510 = 7516 x 1 + 1994
Step 2: Since the reminder 7516 ≠ 0, we apply division lemma to 1994 and 7516, to get
7516 = 1994 x 3 + 1534
Step 3: We consider the new divisor 1994 and the new remainder 1534, and apply the division lemma to get
1994 = 1534 x 1 + 460
We consider the new divisor 1534 and the new remainder 460,and apply the division lemma to get
1534 = 460 x 3 + 154
We consider the new divisor 460 and the new remainder 154,and apply the division lemma to get
460 = 154 x 2 + 152
We consider the new divisor 154 and the new remainder 152,and apply the division lemma to get
154 = 152 x 1 + 2
We consider the new divisor 152 and the new remainder 2,and apply the division lemma to get
152 = 2 x 76 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7516 and 9510 is 2
Notice that 2 = HCF(152,2) = HCF(154,152) = HCF(460,154) = HCF(1534,460) = HCF(1994,1534) = HCF(7516,1994) = HCF(9510,7516) .
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 7516, 9510?
Answer: HCF of 7516, 9510 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7516, 9510 using Euclid's Algorithm?
Answer: For arbitrary numbers 7516, 9510 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.