Highest Common Factor of 7962, 6990 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 7962, 6990 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 7962, 6990 is 6 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 7962, 6990 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 7962, 6990 is 6.
HCF(7962, 6990) = 6
HCF of 7962, 6990 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7962, 6990 is 6.
Highest Common Factor of 7962,6990 is 6
Step 1: Since 7962 > 6990, we apply the division lemma to 7962 and 6990, to get
7962 = 6990 x 1 + 972
Step 2: Since the reminder 6990 ≠ 0, we apply division lemma to 972 and 6990, to get
6990 = 972 x 7 + 186
Step 3: We consider the new divisor 972 and the new remainder 186, and apply the division lemma to get
972 = 186 x 5 + 42
We consider the new divisor 186 and the new remainder 42,and apply the division lemma to get
186 = 42 x 4 + 18
We consider the new divisor 42 and the new remainder 18,and apply the division lemma to get
42 = 18 x 2 + 6
We consider the new divisor 18 and the new remainder 6,and apply the division lemma to get
18 = 6 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 7962 and 6990 is 6
Notice that 6 = HCF(18,6) = HCF(42,18) = HCF(186,42) = HCF(972,186) = HCF(6990,972) = HCF(7962,6990) .
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Frequently Asked Questions on HCF of 7962, 6990 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 7962, 6990?
Answer: HCF of 7962, 6990 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7962, 6990 using Euclid's Algorithm?
Answer: For arbitrary numbers 7962, 6990 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.