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 7210, 5538 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7210, 5538 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 7210, 5538 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 7210, 5538 is 2.
HCF(7210, 5538) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7210, 5538 is 2.
Step 1: Since 7210 > 5538, we apply the division lemma to 7210 and 5538, to get
7210 = 5538 x 1 + 1672
Step 2: Since the reminder 5538 ≠ 0, we apply division lemma to 1672 and 5538, to get
5538 = 1672 x 3 + 522
Step 3: We consider the new divisor 1672 and the new remainder 522, and apply the division lemma to get
1672 = 522 x 3 + 106
We consider the new divisor 522 and the new remainder 106,and apply the division lemma to get
522 = 106 x 4 + 98
We consider the new divisor 106 and the new remainder 98,and apply the division lemma to get
106 = 98 x 1 + 8
We consider the new divisor 98 and the new remainder 8,and apply the division lemma to get
98 = 8 x 12 + 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 7210 and 5538 is 2
Notice that 2 = HCF(8,2) = HCF(98,8) = HCF(106,98) = HCF(522,106) = HCF(1672,522) = HCF(5538,1672) = HCF(7210,5538) .
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 7210, 5538?
Answer: HCF of 7210, 5538 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7210, 5538 using Euclid's Algorithm?
Answer: For arbitrary numbers 7210, 5538 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.