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 7661, 7400 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7661, 7400 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 7661, 7400 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 7661, 7400 is 1.
HCF(7661, 7400) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7661, 7400 is 1.
Step 1: Since 7661 > 7400, we apply the division lemma to 7661 and 7400, to get
7661 = 7400 x 1 + 261
Step 2: Since the reminder 7400 ≠ 0, we apply division lemma to 261 and 7400, to get
7400 = 261 x 28 + 92
Step 3: We consider the new divisor 261 and the new remainder 92, and apply the division lemma to get
261 = 92 x 2 + 77
We consider the new divisor 92 and the new remainder 77,and apply the division lemma to get
92 = 77 x 1 + 15
We consider the new divisor 77 and the new remainder 15,and apply the division lemma to get
77 = 15 x 5 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 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 7661 and 7400 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(77,15) = HCF(92,77) = HCF(261,92) = HCF(7400,261) = HCF(7661,7400) .
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 7661, 7400?
Answer: HCF of 7661, 7400 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7661, 7400 using Euclid's Algorithm?
Answer: For arbitrary numbers 7661, 7400 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.