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 6770, 9238 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6770, 9238 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 6770, 9238 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 6770, 9238 is 2.
HCF(6770, 9238) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6770, 9238 is 2.
Step 1: Since 9238 > 6770, we apply the division lemma to 9238 and 6770, to get
9238 = 6770 x 1 + 2468
Step 2: Since the reminder 6770 ≠ 0, we apply division lemma to 2468 and 6770, to get
6770 = 2468 x 2 + 1834
Step 3: We consider the new divisor 2468 and the new remainder 1834, and apply the division lemma to get
2468 = 1834 x 1 + 634
We consider the new divisor 1834 and the new remainder 634,and apply the division lemma to get
1834 = 634 x 2 + 566
We consider the new divisor 634 and the new remainder 566,and apply the division lemma to get
634 = 566 x 1 + 68
We consider the new divisor 566 and the new remainder 68,and apply the division lemma to get
566 = 68 x 8 + 22
We consider the new divisor 68 and the new remainder 22,and apply the division lemma to get
68 = 22 x 3 + 2
We consider the new divisor 22 and the new remainder 2,and apply the division lemma to get
22 = 2 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6770 and 9238 is 2
Notice that 2 = HCF(22,2) = HCF(68,22) = HCF(566,68) = HCF(634,566) = HCF(1834,634) = HCF(2468,1834) = HCF(6770,2468) = HCF(9238,6770) .
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 6770, 9238?
Answer: HCF of 6770, 9238 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6770, 9238 using Euclid's Algorithm?
Answer: For arbitrary numbers 6770, 9238 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.