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 1634, 7622 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1634, 7622 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 1634, 7622 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 1634, 7622 is 2.
HCF(1634, 7622) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1634, 7622 is 2.
Step 1: Since 7622 > 1634, we apply the division lemma to 7622 and 1634, to get
7622 = 1634 x 4 + 1086
Step 2: Since the reminder 1634 ≠ 0, we apply division lemma to 1086 and 1634, to get
1634 = 1086 x 1 + 548
Step 3: We consider the new divisor 1086 and the new remainder 548, and apply the division lemma to get
1086 = 548 x 1 + 538
We consider the new divisor 548 and the new remainder 538,and apply the division lemma to get
548 = 538 x 1 + 10
We consider the new divisor 538 and the new remainder 10,and apply the division lemma to get
538 = 10 x 53 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1634 and 7622 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(538,10) = HCF(548,538) = HCF(1086,548) = HCF(1634,1086) = HCF(7622,1634) .
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 1634, 7622?
Answer: HCF of 1634, 7622 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1634, 7622 using Euclid's Algorithm?
Answer: For arbitrary numbers 1634, 7622 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.