Highest Common Factor of 7560, 2062 using Euclid's algorithm
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 7560, 2062 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7560, 2062 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 7560, 2062 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 7560, 2062 is 2.
HCF(7560, 2062) = 2
HCF of 7560, 2062 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7560, 2062 is 2.
Highest Common Factor of 7560,2062 is 2
Step 1: Since 7560 > 2062, we apply the division lemma to 7560 and 2062, to get
7560 = 2062 x 3 + 1374
Step 2: Since the reminder 2062 ≠ 0, we apply division lemma to 1374 and 2062, to get
2062 = 1374 x 1 + 688
Step 3: We consider the new divisor 1374 and the new remainder 688, and apply the division lemma to get
1374 = 688 x 1 + 686
We consider the new divisor 688 and the new remainder 686,and apply the division lemma to get
688 = 686 x 1 + 2
We consider the new divisor 686 and the new remainder 2,and apply the division lemma to get
686 = 2 x 343 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7560 and 2062 is 2
Notice that 2 = HCF(686,2) = HCF(688,686) = HCF(1374,688) = HCF(2062,1374) = HCF(7560,2062) .
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Frequently Asked Questions on HCF of 7560, 2062 using Euclid's Algorithm
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 7560, 2062?
Answer: HCF of 7560, 2062 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7560, 2062 using Euclid's Algorithm?
Answer: For arbitrary numbers 7560, 2062 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
