Highest Common Factor of 7802, 6442 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 7802, 6442 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7802, 6442 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 7802, 6442 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 7802, 6442 is 2.
HCF(7802, 6442) = 2
HCF of 7802, 6442 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7802, 6442 is 2.
Highest Common Factor of 7802,6442 is 2
Step 1: Since 7802 > 6442, we apply the division lemma to 7802 and 6442, to get
7802 = 6442 x 1 + 1360
Step 2: Since the reminder 6442 ≠ 0, we apply division lemma to 1360 and 6442, to get
6442 = 1360 x 4 + 1002
Step 3: We consider the new divisor 1360 and the new remainder 1002, and apply the division lemma to get
1360 = 1002 x 1 + 358
We consider the new divisor 1002 and the new remainder 358,and apply the division lemma to get
1002 = 358 x 2 + 286
We consider the new divisor 358 and the new remainder 286,and apply the division lemma to get
358 = 286 x 1 + 72
We consider the new divisor 286 and the new remainder 72,and apply the division lemma to get
286 = 72 x 3 + 70
We consider the new divisor 72 and the new remainder 70,and apply the division lemma to get
72 = 70 x 1 + 2
We consider the new divisor 70 and the new remainder 2,and apply the division lemma to get
70 = 2 x 35 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7802 and 6442 is 2
Notice that 2 = HCF(70,2) = HCF(72,70) = HCF(286,72) = HCF(358,286) = HCF(1002,358) = HCF(1360,1002) = HCF(6442,1360) = HCF(7802,6442) .
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Frequently Asked Questions on HCF of 7802, 6442 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 7802, 6442?
Answer: HCF of 7802, 6442 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7802, 6442 using Euclid's Algorithm?
Answer: For arbitrary numbers 7802, 6442 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
