Highest Common Factor of 7902, 9222 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 7902, 9222 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 7902, 9222 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 7902, 9222 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 7902, 9222 is 6.
HCF(7902, 9222) = 6
HCF of 7902, 9222 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7902, 9222 is 6.
Highest Common Factor of 7902,9222 is 6
Step 1: Since 9222 > 7902, we apply the division lemma to 9222 and 7902, to get
9222 = 7902 x 1 + 1320
Step 2: Since the reminder 7902 ≠ 0, we apply division lemma to 1320 and 7902, to get
7902 = 1320 x 5 + 1302
Step 3: We consider the new divisor 1320 and the new remainder 1302, and apply the division lemma to get
1320 = 1302 x 1 + 18
We consider the new divisor 1302 and the new remainder 18,and apply the division lemma to get
1302 = 18 x 72 + 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 7902 and 9222 is 6
Notice that 6 = HCF(18,6) = HCF(1302,18) = HCF(1320,1302) = HCF(7902,1320) = HCF(9222,7902) .
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Frequently Asked Questions on HCF of 7902, 9222 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 7902, 9222?
Answer: HCF of 7902, 9222 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7902, 9222 using Euclid's Algorithm?
Answer: For arbitrary numbers 7902, 9222 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.